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Simplifying 5(x + 1) = x + -7 Reorder the terms: 5(1 + x) = x + -7 (1 * 5 + x * 5) = x + -7 (5 + 5x) = x + -7 Reorder the terms: 5 + 5x = -7 + x Solving 5 + 5x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 5x + -1x = -7 + x + -1x Combine like terms: 5x + -1x = 4x 5 + 4x = -7 + x + -1x Combine like terms: x + -1x = 0 5 + 4x = -7 + 0 5 + 4x = -7 Add '-5' to each side of the equation. 5 + -5 + 4x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -7 + -5 4x = -7 + -5 Combine like terms: -7 + -5 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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