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Simplifying 12 + -9(x + 5) = -1(1 + -1x) Reorder the terms: 12 + -9(5 + x) = -1(1 + -1x) 12 + (5 * -9 + x * -9) = -1(1 + -1x) 12 + (-45 + -9x) = -1(1 + -1x) Combine like terms: 12 + -45 = -33 -33 + -9x = -1(1 + -1x) -33 + -9x = (1 * -1 + -1x * -1) -33 + -9x = (-1 + 1x) Solving -33 + -9x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -33 + -9x + -1x = -1 + 1x + -1x Combine like terms: -9x + -1x = -10x -33 + -10x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 -33 + -10x = -1 + 0 -33 + -10x = -1 Add '33' to each side of the equation. -33 + 33 + -10x = -1 + 33 Combine like terms: -33 + 33 = 0 0 + -10x = -1 + 33 -10x = -1 + 33 Combine like terms: -1 + 33 = 32 -10x = 32 Divide each side by '-10'. x = -3.2 Simplifying x = -3.2
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