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Simplifying 3(x + 5) + -2(x + 5) = -7 Reorder the terms: 3(5 + x) + -2(x + 5) = -7 (5 * 3 + x * 3) + -2(x + 5) = -7 (15 + 3x) + -2(x + 5) = -7 Reorder the terms: 15 + 3x + -2(5 + x) = -7 15 + 3x + (5 * -2 + x * -2) = -7 15 + 3x + (-10 + -2x) = -7 Reorder the terms: 15 + -10 + 3x + -2x = -7 Combine like terms: 15 + -10 = 5 5 + 3x + -2x = -7 Combine like terms: 3x + -2x = 1x 5 + 1x = -7 Solving 5 + 1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -7 + -5 1x = -7 + -5 Combine like terms: -7 + -5 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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