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Simplifying 2[1 + -1(-2x + -3)] = 24x + 38 Reorder the terms: 2[1 + -1(-3 + -2x)] = 24x + 38 2[1 + (-3 * -1 + -2x * -1)] = 24x + 38 2[1 + (3 + 2x)] = 24x + 38 Combine like terms: 1 + 3 = 4 2[4 + 2x] = 24x + 38 [4 * 2 + 2x * 2] = 24x + 38 [8 + 4x] = 24x + 38 Reorder the terms: 8 + 4x = 38 + 24x Solving 8 + 4x = 38 + 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. 8 + 4x + -24x = 38 + 24x + -24x Combine like terms: 4x + -24x = -20x 8 + -20x = 38 + 24x + -24x Combine like terms: 24x + -24x = 0 8 + -20x = 38 + 0 8 + -20x = 38 Add '-8' to each side of the equation. 8 + -8 + -20x = 38 + -8 Combine like terms: 8 + -8 = 0 0 + -20x = 38 + -8 -20x = 38 + -8 Combine like terms: 38 + -8 = 30 -20x = 30 Divide each side by '-20'. x = -1.5 Simplifying x = -1.5
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