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Simplifying 7(1 + x) = -3(8 + 8x) (1 * 7 + x * 7) = -3(8 + 8x) (7 + 7x) = -3(8 + 8x) 7 + 7x = (8 * -3 + 8x * -3) 7 + 7x = (-24 + -24x) Solving 7 + 7x = -24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 7 + 7x + 24x = -24 + -24x + 24x Combine like terms: 7x + 24x = 31x 7 + 31x = -24 + -24x + 24x Combine like terms: -24x + 24x = 0 7 + 31x = -24 + 0 7 + 31x = -24 Add '-7' to each side of the equation. 7 + -7 + 31x = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 31x = -24 + -7 31x = -24 + -7 Combine like terms: -24 + -7 = -31 31x = -31 Divide each side by '31'. x = -1 Simplifying x = -1
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