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Simplifying 8 + -5(2x + -9) = 12 + -1(9x + 3) Reorder the terms: 8 + -5(-9 + 2x) = 12 + -1(9x + 3) 8 + (-9 * -5 + 2x * -5) = 12 + -1(9x + 3) 8 + (45 + -10x) = 12 + -1(9x + 3) Combine like terms: 8 + 45 = 53 53 + -10x = 12 + -1(9x + 3) Reorder the terms: 53 + -10x = 12 + -1(3 + 9x) 53 + -10x = 12 + (3 * -1 + 9x * -1) 53 + -10x = 12 + (-3 + -9x) Combine like terms: 12 + -3 = 9 53 + -10x = 9 + -9x Solving 53 + -10x = 9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 53 + -10x + 9x = 9 + -9x + 9x Combine like terms: -10x + 9x = -1x 53 + -1x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 53 + -1x = 9 + 0 53 + -1x = 9 Add '-53' to each side of the equation. 53 + -53 + -1x = 9 + -53 Combine like terms: 53 + -53 = 0 0 + -1x = 9 + -53 -1x = 9 + -53 Combine like terms: 9 + -53 = -44 -1x = -44 Divide each side by '-1'. x = 44 Simplifying x = 44
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