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Simplifying 3(x + 5) + -2(x + -1) = 4 Reorder the terms: 3(5 + x) + -2(x + -1) = 4 (5 * 3 + x * 3) + -2(x + -1) = 4 (15 + 3x) + -2(x + -1) = 4 Reorder the terms: 15 + 3x + -2(-1 + x) = 4 15 + 3x + (-1 * -2 + x * -2) = 4 15 + 3x + (2 + -2x) = 4 Reorder the terms: 15 + 2 + 3x + -2x = 4 Combine like terms: 15 + 2 = 17 17 + 3x + -2x = 4 Combine like terms: 3x + -2x = 1x 17 + 1x = 4 Solving 17 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1x = 4 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 4 + -17 1x = 4 + -17 Combine like terms: 4 + -17 = -13 1x = -13 Divide each side by '1'. x = -13 Simplifying x = -13
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