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Simplifying 5(x + 3) = -10(x + 1) Reorder the terms: 5(3 + x) = -10(x + 1) (3 * 5 + x * 5) = -10(x + 1) (15 + 5x) = -10(x + 1) Reorder the terms: 15 + 5x = -10(1 + x) 15 + 5x = (1 * -10 + x * -10) 15 + 5x = (-10 + -10x) Solving 15 + 5x = -10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 15 + 5x + 10x = -10 + -10x + 10x Combine like terms: 5x + 10x = 15x 15 + 15x = -10 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 15x = -10 + 0 15 + 15x = -10 Add '-15' to each side of the equation. 15 + -15 + 15x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = -10 + -15 15x = -10 + -15 Combine like terms: -10 + -15 = -25 15x = -25 Divide each side by '15'. x = -1.666666667 Simplifying x = -1.666666667
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