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Simplifying 5(2x + 3) = -3(-3x + 4) Reorder the terms: 5(3 + 2x) = -3(-3x + 4) (3 * 5 + 2x * 5) = -3(-3x + 4) (15 + 10x) = -3(-3x + 4) Reorder the terms: 15 + 10x = -3(4 + -3x) 15 + 10x = (4 * -3 + -3x * -3) 15 + 10x = (-12 + 9x) Solving 15 + 10x = -12 + 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 = -12 + 9x + -9x Combine like terms: 10x + -9x = 1x 15 + 1x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + 1x = -12 + 0 15 + 1x = -12 Add '-15' to each side of the equation. 15 + -15 + 1x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -12 + -15 1x = -12 + -15 Combine like terms: -12 + -15 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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