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Simplifying 3[x + 4] + -5[x + -1] = 9x + -5 Reorder the terms: 3[4 + x] + -5[x + -1] = 9x + -5 [4 * 3 + x * 3] + -5[x + -1] = 9x + -5 [12 + 3x] + -5[x + -1] = 9x + -5 Reorder the terms: 12 + 3x + -5[-1 + x] = 9x + -5 12 + 3x + [-1 * -5 + x * -5] = 9x + -5 12 + 3x + [5 + -5x] = 9x + -5 Reorder the terms: 12 + 5 + 3x + -5x = 9x + -5 Combine like terms: 12 + 5 = 17 17 + 3x + -5x = 9x + -5 Combine like terms: 3x + -5x = -2x 17 + -2x = 9x + -5 Reorder the terms: 17 + -2x = -5 + 9x Solving 17 + -2x = -5 + 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. 17 + -2x + -9x = -5 + 9x + -9x Combine like terms: -2x + -9x = -11x 17 + -11x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + -11x = -5 + 0 17 + -11x = -5 Add '-17' to each side of the equation. 17 + -17 + -11x = -5 + -17 Combine like terms: 17 + -17 = 0 0 + -11x = -5 + -17 -11x = -5 + -17 Combine like terms: -5 + -17 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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