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Simplifying 8[8 + -1(-6x + -6)] = 24x + 40 Reorder the terms: 8[8 + -1(-6 + -6x)] = 24x + 40 8[8 + (-6 * -1 + -6x * -1)] = 24x + 40 8[8 + (6 + 6x)] = 24x + 40 Combine like terms: 8 + 6 = 14 8[14 + 6x] = 24x + 40 [14 * 8 + 6x * 8] = 24x + 40 [112 + 48x] = 24x + 40 Reorder the terms: 112 + 48x = 40 + 24x Solving 112 + 48x = 40 + 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. 112 + 48x + -24x = 40 + 24x + -24x Combine like terms: 48x + -24x = 24x 112 + 24x = 40 + 24x + -24x Combine like terms: 24x + -24x = 0 112 + 24x = 40 + 0 112 + 24x = 40 Add '-112' to each side of the equation. 112 + -112 + 24x = 40 + -112 Combine like terms: 112 + -112 = 0 0 + 24x = 40 + -112 24x = 40 + -112 Combine like terms: 40 + -112 = -72 24x = -72 Divide each side by '24'. x = -3 Simplifying x = -3
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