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Simplifying -7(5x + -9) = 40 + -12x Reorder the terms: -7(-9 + 5x) = 40 + -12x (-9 * -7 + 5x * -7) = 40 + -12x (63 + -35x) = 40 + -12x Solving 63 + -35x = 40 + -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. 63 + -35x + 12x = 40 + -12x + 12x Combine like terms: -35x + 12x = -23x 63 + -23x = 40 + -12x + 12x Combine like terms: -12x + 12x = 0 63 + -23x = 40 + 0 63 + -23x = 40 Add '-63' to each side of the equation. 63 + -63 + -23x = 40 + -63 Combine like terms: 63 + -63 = 0 0 + -23x = 40 + -63 -23x = 40 + -63 Combine like terms: 40 + -63 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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