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