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Simplifying 4 = -5(1 + -1x) + 2(x + 1) 4 = (1 * -5 + -1x * -5) + 2(x + 1) 4 = (-5 + 5x) + 2(x + 1) Reorder the terms: 4 = -5 + 5x + 2(1 + x) 4 = -5 + 5x + (1 * 2 + x * 2) 4 = -5 + 5x + (2 + 2x) Reorder the terms: 4 = -5 + 2 + 5x + 2x Combine like terms: -5 + 2 = -3 4 = -3 + 5x + 2x Combine like terms: 5x + 2x = 7x 4 = -3 + 7x Solving 4 = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + -7x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -7x = -3 + 0 4 + -7x = -3 Add '-4' to each side of the equation. 4 + -4 + -7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -3 + -4 -7x = -3 + -4 Combine like terms: -3 + -4 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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