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