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Simplifying 5x + -2[4x + -9] = 5 + 5[2 + -1x] Reorder the terms: 5x + -2[-9 + 4x] = 5 + 5[2 + -1x] 5x + [-9 * -2 + 4x * -2] = 5 + 5[2 + -1x] 5x + [18 + -8x] = 5 + 5[2 + -1x] Reorder the terms: 18 + 5x + -8x = 5 + 5[2 + -1x] Combine like terms: 5x + -8x = -3x 18 + -3x = 5 + 5[2 + -1x] 18 + -3x = 5 + [2 * 5 + -1x * 5] 18 + -3x = 5 + [10 + -5x] Combine like terms: 5 + 10 = 15 18 + -3x = 15 + -5x Solving 18 + -3x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 18 + -3x + 5x = 15 + -5x + 5x Combine like terms: -3x + 5x = 2x 18 + 2x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + 2x = 15 + 0 18 + 2x = 15 Add '-18' to each side of the equation. 18 + -18 + 2x = 15 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 15 + -18 2x = 15 + -18 Combine like terms: 15 + -18 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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