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Simplifying 4(x + 5) + -5(2x + -1) = -3(2x + -8) + 1 Reorder the terms: 4(5 + x) + -5(2x + -1) = -3(2x + -8) + 1 (5 * 4 + x * 4) + -5(2x + -1) = -3(2x + -8) + 1 (20 + 4x) + -5(2x + -1) = -3(2x + -8) + 1 Reorder the terms: 20 + 4x + -5(-1 + 2x) = -3(2x + -8) + 1 20 + 4x + (-1 * -5 + 2x * -5) = -3(2x + -8) + 1 20 + 4x + (5 + -10x) = -3(2x + -8) + 1 Reorder the terms: 20 + 5 + 4x + -10x = -3(2x + -8) + 1 Combine like terms: 20 + 5 = 25 25 + 4x + -10x = -3(2x + -8) + 1 Combine like terms: 4x + -10x = -6x 25 + -6x = -3(2x + -8) + 1 Reorder the terms: 25 + -6x = -3(-8 + 2x) + 1 25 + -6x = (-8 * -3 + 2x * -3) + 1 25 + -6x = (24 + -6x) + 1 Reorder the terms: 25 + -6x = 24 + 1 + -6x Combine like terms: 24 + 1 = 25 25 + -6x = 25 + -6x Add '-25' to each side of the equation. 25 + -25 + -6x = 25 + -25 + -6x Combine like terms: 25 + -25 = 0 0 + -6x = 25 + -25 + -6x -6x = 25 + -25 + -6x Combine like terms: 25 + -25 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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