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Simplifying 5x + -2(x + -4) = 2(x + -1) + 10 Reorder the terms: 5x + -2(-4 + x) = 2(x + -1) + 10 5x + (-4 * -2 + x * -2) = 2(x + -1) + 10 5x + (8 + -2x) = 2(x + -1) + 10 Reorder the terms: 8 + 5x + -2x = 2(x + -1) + 10 Combine like terms: 5x + -2x = 3x 8 + 3x = 2(x + -1) + 10 Reorder the terms: 8 + 3x = 2(-1 + x) + 10 8 + 3x = (-1 * 2 + x * 2) + 10 8 + 3x = (-2 + 2x) + 10 Reorder the terms: 8 + 3x = -2 + 10 + 2x Combine like terms: -2 + 10 = 8 8 + 3x = 8 + 2x Add '-8' to each side of the equation. 8 + -8 + 3x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + 3x = 8 + -8 + 2x 3x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 3x = 0 + 2x 3x = 2x Solving 3x = 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. 3x + -2x = 2x + -2x Combine like terms: 3x + -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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