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Simplifying 2(5x + 4) = -3(3x + 2) Reorder the terms: 2(4 + 5x) = -3(3x + 2) (4 * 2 + 5x * 2) = -3(3x + 2) (8 + 10x) = -3(3x + 2) Reorder the terms: 8 + 10x = -3(2 + 3x) 8 + 10x = (2 * -3 + 3x * -3) 8 + 10x = (-6 + -9x) Solving 8 + 10x = -6 + -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. 8 + 10x + 9x = -6 + -9x + 9x Combine like terms: 10x + 9x = 19x 8 + 19x = -6 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 19x = -6 + 0 8 + 19x = -6 Add '-8' to each side of the equation. 8 + -8 + 19x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 19x = -6 + -8 19x = -6 + -8 Combine like terms: -6 + -8 = -14 19x = -14 Divide each side by '19'. x = -0.7368421053 Simplifying x = -0.7368421053
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