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Simplifying -10 + 3(8 + 8x) = -6(x + -4) -10 + (8 * 3 + 8x * 3) = -6(x + -4) -10 + (24 + 24x) = -6(x + -4) Combine like terms: -10 + 24 = 14 14 + 24x = -6(x + -4) Reorder the terms: 14 + 24x = -6(-4 + x) 14 + 24x = (-4 * -6 + x * -6) 14 + 24x = (24 + -6x) Solving 14 + 24x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 14 + 24x + 6x = 24 + -6x + 6x Combine like terms: 24x + 6x = 30x 14 + 30x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 30x = 24 + 0 14 + 30x = 24 Add '-14' to each side of the equation. 14 + -14 + 30x = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 30x = 24 + -14 30x = 24 + -14 Combine like terms: 24 + -14 = 10 30x = 10 Divide each side by '30'. x = 0.3333333333 Simplifying x = 0.3333333333
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