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Simplifying 2(2x + -2) + 4(3 + -1x) = 2(-1x + 2) + x Reorder the terms: 2(-2 + 2x) + 4(3 + -1x) = 2(-1x + 2) + x (-2 * 2 + 2x * 2) + 4(3 + -1x) = 2(-1x + 2) + x (-4 + 4x) + 4(3 + -1x) = 2(-1x + 2) + x -4 + 4x + (3 * 4 + -1x * 4) = 2(-1x + 2) + x -4 + 4x + (12 + -4x) = 2(-1x + 2) + x Reorder the terms: -4 + 12 + 4x + -4x = 2(-1x + 2) + x Combine like terms: -4 + 12 = 8 8 + 4x + -4x = 2(-1x + 2) + x Combine like terms: 4x + -4x = 0 8 + 0 = 2(-1x + 2) + x 8 = 2(-1x + 2) + x Reorder the terms: 8 = 2(2 + -1x) + x 8 = (2 * 2 + -1x * 2) + x 8 = (4 + -2x) + x Combine like terms: -2x + x = -1x 8 = 4 + -1x Solving 8 = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + x = 4 + -1x + x Combine like terms: -1x + x = 0 8 + x = 4 + 0 8 + x = 4 Add '-8' to each side of the equation. 8 + -8 + x = 4 + -8 Combine like terms: 8 + -8 = 0 0 + x = 4 + -8 x = 4 + -8 Combine like terms: 4 + -8 = -4 x = -4 Simplifying x = -4
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