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Simplifying -1(9x + -15) + 6(x + -10) = -9 Reorder the terms: -1(-15 + 9x) + 6(x + -10) = -9 (-15 * -1 + 9x * -1) + 6(x + -10) = -9 (15 + -9x) + 6(x + -10) = -9 Reorder the terms: 15 + -9x + 6(-10 + x) = -9 15 + -9x + (-10 * 6 + x * 6) = -9 15 + -9x + (-60 + 6x) = -9 Reorder the terms: 15 + -60 + -9x + 6x = -9 Combine like terms: 15 + -60 = -45 -45 + -9x + 6x = -9 Combine like terms: -9x + 6x = -3x -45 + -3x = -9 Solving -45 + -3x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -3x = -9 + 45 Combine like terms: -45 + 45 = 0 0 + -3x = -9 + 45 -3x = -9 + 45 Combine like terms: -9 + 45 = 36 -3x = 36 Divide each side by '-3'. x = -12 Simplifying x = -12
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