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Simplifying -7(4x + 2) + -5(3x + -9) = 5(3x + 6) Reorder the terms: -7(2 + 4x) + -5(3x + -9) = 5(3x + 6) (2 * -7 + 4x * -7) + -5(3x + -9) = 5(3x + 6) (-14 + -28x) + -5(3x + -9) = 5(3x + 6) Reorder the terms: -14 + -28x + -5(-9 + 3x) = 5(3x + 6) -14 + -28x + (-9 * -5 + 3x * -5) = 5(3x + 6) -14 + -28x + (45 + -15x) = 5(3x + 6) Reorder the terms: -14 + 45 + -28x + -15x = 5(3x + 6) Combine like terms: -14 + 45 = 31 31 + -28x + -15x = 5(3x + 6) Combine like terms: -28x + -15x = -43x 31 + -43x = 5(3x + 6) Reorder the terms: 31 + -43x = 5(6 + 3x) 31 + -43x = (6 * 5 + 3x * 5) 31 + -43x = (30 + 15x) Solving 31 + -43x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 31 + -43x + -15x = 30 + 15x + -15x Combine like terms: -43x + -15x = -58x 31 + -58x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 31 + -58x = 30 + 0 31 + -58x = 30 Add '-31' to each side of the equation. 31 + -31 + -58x = 30 + -31 Combine like terms: 31 + -31 = 0 0 + -58x = 30 + -31 -58x = 30 + -31 Combine like terms: 30 + -31 = -1 -58x = -1 Divide each side by '-58'. x = 0.01724137931 Simplifying x = 0.01724137931
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