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Simplifying 5(2x + 3) = 10x + -1(x + -3) Reorder the terms: 5(3 + 2x) = 10x + -1(x + -3) (3 * 5 + 2x * 5) = 10x + -1(x + -3) (15 + 10x) = 10x + -1(x + -3) Reorder the terms: 15 + 10x = 10x + -1(-3 + x) 15 + 10x = 10x + (-3 * -1 + x * -1) 15 + 10x = 10x + (3 + -1x) Reorder the terms: 15 + 10x = 3 + 10x + -1x Combine like terms: 10x + -1x = 9x 15 + 10x = 3 + 9x Solving 15 + 10x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x 15 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + 1x = 3 + 0 15 + 1x = 3 Add '-15' to each side of the equation. 15 + -15 + 1x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 3 + -15 1x = 3 + -15 Combine like terms: 3 + -15 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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