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Simplifying 10x + -1(2x + 9) = 3(15 + -4x) Reorder the terms: 10x + -1(9 + 2x) = 3(15 + -4x) 10x + (9 * -1 + 2x * -1) = 3(15 + -4x) 10x + (-9 + -2x) = 3(15 + -4x) Reorder the terms: -9 + 10x + -2x = 3(15 + -4x) Combine like terms: 10x + -2x = 8x -9 + 8x = 3(15 + -4x) -9 + 8x = (15 * 3 + -4x * 3) -9 + 8x = (45 + -12x) Solving -9 + 8x = 45 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -9 + 8x + 12x = 45 + -12x + 12x Combine like terms: 8x + 12x = 20x -9 + 20x = 45 + -12x + 12x Combine like terms: -12x + 12x = 0 -9 + 20x = 45 + 0 -9 + 20x = 45 Add '9' to each side of the equation. -9 + 9 + 20x = 45 + 9 Combine like terms: -9 + 9 = 0 0 + 20x = 45 + 9 20x = 45 + 9 Combine like terms: 45 + 9 = 54 20x = 54 Divide each side by '20'. x = 2.7 Simplifying x = 2.7
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