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Simplifying 7(x + 1) = 1 + -2(5 + -1x) Reorder the terms: 7(1 + x) = 1 + -2(5 + -1x) (1 * 7 + x * 7) = 1 + -2(5 + -1x) (7 + 7x) = 1 + -2(5 + -1x) 7 + 7x = 1 + (5 * -2 + -1x * -2) 7 + 7x = 1 + (-10 + 2x) Combine like terms: 1 + -10 = -9 7 + 7x = -9 + 2x Solving 7 + 7x = -9 + 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. 7 + 7x + -2x = -9 + 2x + -2x Combine like terms: 7x + -2x = 5x 7 + 5x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 5x = -9 + 0 7 + 5x = -9 Add '-7' to each side of the equation. 7 + -7 + 5x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -9 + -7 5x = -9 + -7 Combine like terms: -9 + -7 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2
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