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Simplifying 6(2 + -3x) = 4(5x + 7) (2 * 6 + -3x * 6) = 4(5x + 7) (12 + -18x) = 4(5x + 7) Reorder the terms: 12 + -18x = 4(7 + 5x) 12 + -18x = (7 * 4 + 5x * 4) 12 + -18x = (28 + 20x) Solving 12 + -18x = 28 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12 + -18x + -20x = 28 + 20x + -20x Combine like terms: -18x + -20x = -38x 12 + -38x = 28 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -38x = 28 + 0 12 + -38x = 28 Add '-12' to each side of the equation. 12 + -12 + -38x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -38x = 28 + -12 -38x = 28 + -12 Combine like terms: 28 + -12 = 16 -38x = 16 Divide each side by '-38'. x = -0.4210526316 Simplifying x = -0.4210526316
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