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Simplifying 2x + 8(x + -2) = 4x + -3(3 + -2x) + -7 Reorder the terms: 2x + 8(-2 + x) = 4x + -3(3 + -2x) + -7 2x + (-2 * 8 + x * 8) = 4x + -3(3 + -2x) + -7 2x + (-16 + 8x) = 4x + -3(3 + -2x) + -7 Reorder the terms: -16 + 2x + 8x = 4x + -3(3 + -2x) + -7 Combine like terms: 2x + 8x = 10x -16 + 10x = 4x + -3(3 + -2x) + -7 -16 + 10x = 4x + (3 * -3 + -2x * -3) + -7 -16 + 10x = 4x + (-9 + 6x) + -7 Reorder the terms: -16 + 10x = -9 + -7 + 4x + 6x Combine like terms: -9 + -7 = -16 -16 + 10x = -16 + 4x + 6x Combine like terms: 4x + 6x = 10x -16 + 10x = -16 + 10x Add '16' to each side of the equation. -16 + 16 + 10x = -16 + 16 + 10x Combine like terms: -16 + 16 = 0 0 + 10x = -16 + 16 + 10x 10x = -16 + 16 + 10x Combine like terms: -16 + 16 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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