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Simplifying 9 + -5(x + 4) = 12 + -8(x + 1) Reorder the terms: 9 + -5(4 + x) = 12 + -8(x + 1) 9 + (4 * -5 + x * -5) = 12 + -8(x + 1) 9 + (-20 + -5x) = 12 + -8(x + 1) Combine like terms: 9 + -20 = -11 -11 + -5x = 12 + -8(x + 1) Reorder the terms: -11 + -5x = 12 + -8(1 + x) -11 + -5x = 12 + (1 * -8 + x * -8) -11 + -5x = 12 + (-8 + -8x) Combine like terms: 12 + -8 = 4 -11 + -5x = 4 + -8x Solving -11 + -5x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -11 + -5x + 8x = 4 + -8x + 8x Combine like terms: -5x + 8x = 3x -11 + 3x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -11 + 3x = 4 + 0 -11 + 3x = 4 Add '11' to each side of the equation. -11 + 11 + 3x = 4 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 4 + 11 3x = 4 + 11 Combine like terms: 4 + 11 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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