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