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Simplifying 10x + -1(2x + 9) = -3(15 + -1x) Reorder the terms: 10x + -1(9 + 2x) = -3(15 + -1x) 10x + (9 * -1 + 2x * -1) = -3(15 + -1x) 10x + (-9 + -2x) = -3(15 + -1x) Reorder the terms: -9 + 10x + -2x = -3(15 + -1x) Combine like terms: 10x + -2x = 8x -9 + 8x = -3(15 + -1x) -9 + 8x = (15 * -3 + -1x * -3) -9 + 8x = (-45 + 3x) Solving -9 + 8x = -45 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 8x + -3x = -45 + 3x + -3x Combine like terms: 8x + -3x = 5x -9 + 5x = -45 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 5x = -45 + 0 -9 + 5x = -45 Add '9' to each side of the equation. -9 + 9 + 5x = -45 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = -45 + 9 5x = -45 + 9 Combine like terms: -45 + 9 = -36 5x = -36 Divide each side by '5'. x = -7.2 Simplifying x = -7.2
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