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Simplifying 5(x + 1) + -5(x + -1) = x + 7 Reorder the terms: 5(1 + x) + -5(x + -1) = x + 7 (1 * 5 + x * 5) + -5(x + -1) = x + 7 (5 + 5x) + -5(x + -1) = x + 7 Reorder the terms: 5 + 5x + -5(-1 + x) = x + 7 5 + 5x + (-1 * -5 + x * -5) = x + 7 5 + 5x + (5 + -5x) = x + 7 Reorder the terms: 5 + 5 + 5x + -5x = x + 7 Combine like terms: 5 + 5 = 10 10 + 5x + -5x = x + 7 Combine like terms: 5x + -5x = 0 10 + 0 = x + 7 10 = x + 7 Reorder the terms: 10 = 7 + x Solving 10 = 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. 10 + -1x = 7 + x + -1x Combine like terms: x + -1x = 0 10 + -1x = 7 + 0 10 + -1x = 7 Add '-10' to each side of the equation. 10 + -10 + -1x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 7 + -10 -1x = 7 + -10 Combine like terms: 7 + -10 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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