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Simplifying 3(4x + -6) = 2x + -1(9 + -5x) Reorder the terms: 3(-6 + 4x) = 2x + -1(9 + -5x) (-6 * 3 + 4x * 3) = 2x + -1(9 + -5x) (-18 + 12x) = 2x + -1(9 + -5x) -18 + 12x = 2x + (9 * -1 + -5x * -1) -18 + 12x = 2x + (-9 + 5x) Reorder the terms: -18 + 12x = -9 + 2x + 5x Combine like terms: 2x + 5x = 7x -18 + 12x = -9 + 7x Solving -18 + 12x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 12x + -7x = -9 + 7x + -7x Combine like terms: 12x + -7x = 5x -18 + 5x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 5x = -9 + 0 -18 + 5x = -9 Add '18' to each side of the equation. -18 + 18 + 5x = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -9 + 18 5x = -9 + 18 Combine like terms: -9 + 18 = 9 5x = 9 Divide each side by '5'. x = 1.8 Simplifying x = 1.8
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