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Simplifying 2[8 + -1(-2x + -9)] = 24x + 124 Reorder the terms: 2[8 + -1(-9 + -2x)] = 24x + 124 2[8 + (-9 * -1 + -2x * -1)] = 24x + 124 2[8 + (9 + 2x)] = 24x + 124 Combine like terms: 8 + 9 = 17 2[17 + 2x] = 24x + 124 [17 * 2 + 2x * 2] = 24x + 124 [34 + 4x] = 24x + 124 Reorder the terms: 34 + 4x = 124 + 24x Solving 34 + 4x = 124 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 34 + 4x + -24x = 124 + 24x + -24x Combine like terms: 4x + -24x = -20x 34 + -20x = 124 + 24x + -24x Combine like terms: 24x + -24x = 0 34 + -20x = 124 + 0 34 + -20x = 124 Add '-34' to each side of the equation. 34 + -34 + -20x = 124 + -34 Combine like terms: 34 + -34 = 0 0 + -20x = 124 + -34 -20x = 124 + -34 Combine like terms: 124 + -34 = 90 -20x = 90 Divide each side by '-20'. x = -4.5 Simplifying x = -4.5
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