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Simplifying 6(5x + -9) = -4(6 + -2x) + 2x Reorder the terms: 6(-9 + 5x) = -4(6 + -2x) + 2x (-9 * 6 + 5x * 6) = -4(6 + -2x) + 2x (-54 + 30x) = -4(6 + -2x) + 2x -54 + 30x = (6 * -4 + -2x * -4) + 2x -54 + 30x = (-24 + 8x) + 2x Combine like terms: 8x + 2x = 10x -54 + 30x = -24 + 10x Solving -54 + 30x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -54 + 30x + -10x = -24 + 10x + -10x Combine like terms: 30x + -10x = 20x -54 + 20x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 -54 + 20x = -24 + 0 -54 + 20x = -24 Add '54' to each side of the equation. -54 + 54 + 20x = -24 + 54 Combine like terms: -54 + 54 = 0 0 + 20x = -24 + 54 20x = -24 + 54 Combine like terms: -24 + 54 = 30 20x = 30 Divide each side by '20'. x = 1.5 Simplifying x = 1.5
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