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Simplifying 7(-9x + -5) = -15 + -12(6x + -15) Reorder the terms: 7(-5 + -9x) = -15 + -12(6x + -15) (-5 * 7 + -9x * 7) = -15 + -12(6x + -15) (-35 + -63x) = -15 + -12(6x + -15) Reorder the terms: -35 + -63x = -15 + -12(-15 + 6x) -35 + -63x = -15 + (-15 * -12 + 6x * -12) -35 + -63x = -15 + (180 + -72x) Combine like terms: -15 + 180 = 165 -35 + -63x = 165 + -72x Solving -35 + -63x = 165 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. -35 + -63x + 72x = 165 + -72x + 72x Combine like terms: -63x + 72x = 9x -35 + 9x = 165 + -72x + 72x Combine like terms: -72x + 72x = 0 -35 + 9x = 165 + 0 -35 + 9x = 165 Add '35' to each side of the equation. -35 + 35 + 9x = 165 + 35 Combine like terms: -35 + 35 = 0 0 + 9x = 165 + 35 9x = 165 + 35 Combine like terms: 165 + 35 = 200 9x = 200 Divide each side by '9'. x = 22.22222222 Simplifying x = 22.22222222
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