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Simplifying -4(x + -2) + 5x = 4(x + 2) + -5x Reorder the terms: -4(-2 + x) + 5x = 4(x + 2) + -5x (-2 * -4 + x * -4) + 5x = 4(x + 2) + -5x (8 + -4x) + 5x = 4(x + 2) + -5x Combine like terms: -4x + 5x = 1x 8 + 1x = 4(x + 2) + -5x Reorder the terms: 8 + 1x = 4(2 + x) + -5x 8 + 1x = (2 * 4 + x * 4) + -5x 8 + 1x = (8 + 4x) + -5x Combine like terms: 4x + -5x = -1x 8 + 1x = 8 + -1x Add '-8' to each side of the equation. 8 + -8 + 1x = 8 + -8 + -1x Combine like terms: 8 + -8 = 0 0 + 1x = 8 + -8 + -1x 1x = 8 + -8 + -1x Combine like terms: 8 + -8 = 0 1x = 0 + -1x 1x = -1x Solving 1x = -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. 1x + x = -1x + x Combine like terms: 1x + x = 2x 2x = -1x + x Combine like terms: -1x + x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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