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Simplifying 3(2x + -5) + 4 + -5(3x + 1) + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 Reorder the terms: 3(-5 + 2x) + 4 + -5(3x + 1) + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 (-5 * 3 + 2x * 3) + 4 + -5(3x + 1) + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 (-15 + 6x) + 4 + -5(3x + 1) + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 Reorder the terms: -15 + 6x + 4 + -5(1 + 3x) + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 -15 + 6x + 4 + (1 * -5 + 3x * -5) + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 -15 + 6x + 4 + (-5 + -15x) + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 Reorder the terms: -15 + 4 + -5 + 6x + -15x + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 Combine like terms: -15 + 4 = -11 -11 + -5 + 6x + -15x + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 Combine like terms: -11 + -5 = -16 -16 + 6x + -15x + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 Combine like terms: 6x + -15x = -9x -16 + -9x + 25x = 7(2x + -1) + 4x + -2(x + 8) + 7 Combine like terms: -9x + 25x = 16x -16 + 16x = 7(2x + -1) + 4x + -2(x + 8) + 7 Reorder the terms: -16 + 16x = 7(-1 + 2x) + 4x + -2(x + 8) + 7 -16 + 16x = (-1 * 7 + 2x * 7) + 4x + -2(x + 8) + 7 -16 + 16x = (-7 + 14x) + 4x + -2(x + 8) + 7 Reorder the terms: -16 + 16x = -7 + 14x + 4x + -2(8 + x) + 7 -16 + 16x = -7 + 14x + 4x + (8 * -2 + x * -2) + 7 -16 + 16x = -7 + 14x + 4x + (-16 + -2x) + 7 Reorder the terms: -16 + 16x = -7 + -16 + 7 + 14x + 4x + -2x Combine like terms: -7 + -16 = -23 -16 + 16x = -23 + 7 + 14x + 4x + -2x Combine like terms: -23 + 7 = -16 -16 + 16x = -16 + 14x + 4x + -2x Combine like terms: 14x + 4x = 18x -16 + 16x = -16 + 18x + -2x Combine like terms: 18x + -2x = 16x -16 + 16x = -16 + 16x Add '16' to each side of the equation. -16 + 16 + 16x = -16 + 16 + 16x Combine like terms: -16 + 16 = 0 0 + 16x = -16 + 16 + 16x 16x = -16 + 16 + 16x Combine like terms: -16 + 16 = 0 16x = 0 + 16x 16x = 16x Add '-16x' to each side of the equation. 16x + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 0 = 16x + -16x Combine like terms: 16x + -16x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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