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Simplifying 2(3x + -2) + -5x = 4(x + -1) + 8x Reorder the terms: 2(-2 + 3x) + -5x = 4(x + -1) + 8x (-2 * 2 + 3x * 2) + -5x = 4(x + -1) + 8x (-4 + 6x) + -5x = 4(x + -1) + 8x Combine like terms: 6x + -5x = 1x -4 + 1x = 4(x + -1) + 8x Reorder the terms: -4 + 1x = 4(-1 + x) + 8x -4 + 1x = (-1 * 4 + x * 4) + 8x -4 + 1x = (-4 + 4x) + 8x Combine like terms: 4x + 8x = 12x -4 + 1x = -4 + 12x Add '4' to each side of the equation. -4 + 4 + 1x = -4 + 4 + 12x Combine like terms: -4 + 4 = 0 0 + 1x = -4 + 4 + 12x 1x = -4 + 4 + 12x Combine like terms: -4 + 4 = 0 1x = 0 + 12x 1x = 12x Solving 1x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1x + -12x = 12x + -12x Combine like terms: 1x + -12x = -11x -11x = 12x + -12x Combine like terms: 12x + -12x = 0 -11x = 0 Divide each side by '-11'. x = 0 Simplifying x = 0
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