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Simplifying -2(6 + -4x) + 2(x + -2) = 3x + 6x (6 * -2 + -4x * -2) + 2(x + -2) = 3x + 6x (-12 + 8x) + 2(x + -2) = 3x + 6x Reorder the terms: -12 + 8x + 2(-2 + x) = 3x + 6x -12 + 8x + (-2 * 2 + x * 2) = 3x + 6x -12 + 8x + (-4 + 2x) = 3x + 6x Reorder the terms: -12 + -4 + 8x + 2x = 3x + 6x Combine like terms: -12 + -4 = -16 -16 + 8x + 2x = 3x + 6x Combine like terms: 8x + 2x = 10x -16 + 10x = 3x + 6x Combine like terms: 3x + 6x = 9x -16 + 10x = 9x Solving -16 + 10x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 10x + -9x = 9x + -9x Combine like terms: 10x + -9x = 1x -16 + 1x = 9x + -9x Combine like terms: 9x + -9x = 0 -16 + 1x = 0 Add '16' to each side of the equation. -16 + 16 + 1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 0 + 16 1x = 0 + 16 Combine like terms: 0 + 16 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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