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Simplifying 5(2x + 3) = 3(3x + 2) + -2(3 + 2) Reorder the terms: 5(3 + 2x) = 3(3x + 2) + -2(3 + 2) (3 * 5 + 2x * 5) = 3(3x + 2) + -2(3 + 2) (15 + 10x) = 3(3x + 2) + -2(3 + 2) Reorder the terms: 15 + 10x = 3(2 + 3x) + -2(3 + 2) 15 + 10x = (2 * 3 + 3x * 3) + -2(3 + 2) 15 + 10x = (6 + 9x) + -2(3 + 2) Combine like terms: 3 + 2 = 5 15 + 10x = 6 + 9x + -2(5) Multiply -2 * 5 15 + 10x = 6 + 9x + -10 Reorder the terms: 15 + 10x = 6 + -10 + 9x Combine like terms: 6 + -10 = -4 15 + 10x = -4 + 9x Solving 15 + 10x = -4 + 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 = -4 + 9x + -9x Combine like terms: 10x + -9x = 1x 15 + 1x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + 1x = -4 + 0 15 + 1x = -4 Add '-15' to each side of the equation. 15 + -15 + 1x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -4 + -15 1x = -4 + -15 Combine like terms: -4 + -15 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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