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Simplifying 3(2x + -9) = 3(10x + 4) Reorder the terms: 3(-9 + 2x) = 3(10x + 4) (-9 * 3 + 2x * 3) = 3(10x + 4) (-27 + 6x) = 3(10x + 4) Reorder the terms: -27 + 6x = 3(4 + 10x) -27 + 6x = (4 * 3 + 10x * 3) -27 + 6x = (12 + 30x) Solving -27 + 6x = 12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -27 + 6x + -30x = 12 + 30x + -30x Combine like terms: 6x + -30x = -24x -27 + -24x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 -27 + -24x = 12 + 0 -27 + -24x = 12 Add '27' to each side of the equation. -27 + 27 + -24x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + -24x = 12 + 27 -24x = 12 + 27 Combine like terms: 12 + 27 = 39 -24x = 39 Divide each side by '-24'. x = -1.625 Simplifying x = -1.625
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