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Simplifying -2(x + -1) + 4(2 + x) = 3 + -5x Reorder the terms: -2(-1 + x) + 4(2 + x) = 3 + -5x (-1 * -2 + x * -2) + 4(2 + x) = 3 + -5x (2 + -2x) + 4(2 + x) = 3 + -5x 2 + -2x + (2 * 4 + x * 4) = 3 + -5x 2 + -2x + (8 + 4x) = 3 + -5x Reorder the terms: 2 + 8 + -2x + 4x = 3 + -5x Combine like terms: 2 + 8 = 10 10 + -2x + 4x = 3 + -5x Combine like terms: -2x + 4x = 2x 10 + 2x = 3 + -5x Solving 10 + 2x = 3 + -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. 10 + 2x + 5x = 3 + -5x + 5x Combine like terms: 2x + 5x = 7x 10 + 7x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 7x = 3 + 0 10 + 7x = 3 Add '-10' to each side of the equation. 10 + -10 + 7x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 3 + -10 7x = 3 + -10 Combine like terms: 3 + -10 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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