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Simplifying 9 + -5(x + 4) = 12(x + 1) Reorder the terms: 9 + -5(4 + x) = 12(x + 1) 9 + (4 * -5 + x * -5) = 12(x + 1) 9 + (-20 + -5x) = 12(x + 1) Combine like terms: 9 + -20 = -11 -11 + -5x = 12(x + 1) Reorder the terms: -11 + -5x = 12(1 + x) -11 + -5x = (1 * 12 + x * 12) -11 + -5x = (12 + 12x) Solving -11 + -5x = 12 + 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. -11 + -5x + -12x = 12 + 12x + -12x Combine like terms: -5x + -12x = -17x -11 + -17x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -11 + -17x = 12 + 0 -11 + -17x = 12 Add '11' to each side of the equation. -11 + 11 + -17x = 12 + 11 Combine like terms: -11 + 11 = 0 0 + -17x = 12 + 11 -17x = 12 + 11 Combine like terms: 12 + 11 = 23 -17x = 23 Divide each side by '-17'. x = -1.352941176 Simplifying x = -1.352941176
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