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Simplifying 4x + -2(x + -4) = 10 + 5(1 + -1x) Reorder the terms: 4x + -2(-4 + x) = 10 + 5(1 + -1x) 4x + (-4 * -2 + x * -2) = 10 + 5(1 + -1x) 4x + (8 + -2x) = 10 + 5(1 + -1x) Reorder the terms: 8 + 4x + -2x = 10 + 5(1 + -1x) Combine like terms: 4x + -2x = 2x 8 + 2x = 10 + 5(1 + -1x) 8 + 2x = 10 + (1 * 5 + -1x * 5) 8 + 2x = 10 + (5 + -5x) Combine like terms: 10 + 5 = 15 8 + 2x = 15 + -5x Solving 8 + 2x = 15 + -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. 8 + 2x + 5x = 15 + -5x + 5x Combine like terms: 2x + 5x = 7x 8 + 7x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 7x = 15 + 0 8 + 7x = 15 Add '-8' to each side of the equation. 8 + -8 + 7x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 15 + -8 7x = 15 + -8 Combine like terms: 15 + -8 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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