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Simplifying 4[x + -2] + -9 = 3 + -1[x + 5] Reorder the terms: 4[-2 + x] + -9 = 3 + -1[x + 5] [-2 * 4 + x * 4] + -9 = 3 + -1[x + 5] [-8 + 4x] + -9 = 3 + -1[x + 5] Reorder the terms: -8 + -9 + 4x = 3 + -1[x + 5] Combine like terms: -8 + -9 = -17 -17 + 4x = 3 + -1[x + 5] Reorder the terms: -17 + 4x = 3 + -1[5 + x] -17 + 4x = 3 + [5 * -1 + x * -1] -17 + 4x = 3 + [-5 + -1x] Combine like terms: 3 + -5 = -2 -17 + 4x = -2 + -1x Solving -17 + 4x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -17 + 4x + x = -2 + -1x + x Combine like terms: 4x + x = 5x -17 + 5x = -2 + -1x + x Combine like terms: -1x + x = 0 -17 + 5x = -2 + 0 -17 + 5x = -2 Add '17' to each side of the equation. -17 + 17 + 5x = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = -2 + 17 5x = -2 + 17 Combine like terms: -2 + 17 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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