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Simplifying 5(2x + 3) = -1(16 + -3x) Reorder the terms: 5(3 + 2x) = -1(16 + -3x) (3 * 5 + 2x * 5) = -1(16 + -3x) (15 + 10x) = -1(16 + -3x) 15 + 10x = (16 * -1 + -3x * -1) 15 + 10x = (-16 + 3x) Solving 15 + 10x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 10x + -3x = -16 + 3x + -3x Combine like terms: 10x + -3x = 7x 15 + 7x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 7x = -16 + 0 15 + 7x = -16 Add '-15' to each side of the equation. 15 + -15 + 7x = -16 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = -16 + -15 7x = -16 + -15 Combine like terms: -16 + -15 = -31 7x = -31 Divide each side by '7'. x = -4.428571429 Simplifying x = -4.428571429
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