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Simplifying 3(x + 5) = -1(x + -3) Reorder the terms: 3(5 + x) = -1(x + -3) (5 * 3 + x * 3) = -1(x + -3) (15 + 3x) = -1(x + -3) Reorder the terms: 15 + 3x = -1(-3 + x) 15 + 3x = (-3 * -1 + x * -1) 15 + 3x = (3 + -1x) Solving 15 + 3x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 3x + x = 3 + -1x + x Combine like terms: 3x + x = 4x 15 + 4x = 3 + -1x + x Combine like terms: -1x + x = 0 15 + 4x = 3 + 0 15 + 4x = 3 Add '-15' to each side of the equation. 15 + -15 + 4x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 3 + -15 4x = 3 + -15 Combine like terms: 3 + -15 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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