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Simplifying 7 + -1(x + -5) = 9(x + 4) Reorder the terms: 7 + -1(-5 + x) = 9(x + 4) 7 + (-5 * -1 + x * -1) = 9(x + 4) 7 + (5 + -1x) = 9(x + 4) Combine like terms: 7 + 5 = 12 12 + -1x = 9(x + 4) Reorder the terms: 12 + -1x = 9(4 + x) 12 + -1x = (4 * 9 + x * 9) 12 + -1x = (36 + 9x) Solving 12 + -1x = 36 + 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. 12 + -1x + -9x = 36 + 9x + -9x Combine like terms: -1x + -9x = -10x 12 + -10x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -10x = 36 + 0 12 + -10x = 36 Add '-12' to each side of the equation. 12 + -12 + -10x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = 36 + -12 -10x = 36 + -12 Combine like terms: 36 + -12 = 24 -10x = 24 Divide each side by '-10'. x = -2.4 Simplifying x = -2.4
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