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Simplifying 5 + 3(x + 4) = -1(2x + -1) + -9 Reorder the terms: 5 + 3(4 + x) = -1(2x + -1) + -9 5 + (4 * 3 + x * 3) = -1(2x + -1) + -9 5 + (12 + 3x) = -1(2x + -1) + -9 Combine like terms: 5 + 12 = 17 17 + 3x = -1(2x + -1) + -9 Reorder the terms: 17 + 3x = -1(-1 + 2x) + -9 17 + 3x = (-1 * -1 + 2x * -1) + -9 17 + 3x = (1 + -2x) + -9 Reorder the terms: 17 + 3x = 1 + -9 + -2x Combine like terms: 1 + -9 = -8 17 + 3x = -8 + -2x Solving 17 + 3x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 17 + 3x + 2x = -8 + -2x + 2x Combine like terms: 3x + 2x = 5x 17 + 5x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 5x = -8 + 0 17 + 5x = -8 Add '-17' to each side of the equation. 17 + -17 + 5x = -8 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = -8 + -17 5x = -8 + -17 Combine like terms: -8 + -17 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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