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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 = -34 -34 + -24x = -6(x + -4) Reorder the terms: -34 + -24x = -6(-4 + x) -34 + -24x = (-4 * -6 + x * -6) -34 + -24x = (24 + -6x) Solving -34 + -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. -34 + -24x + 6x = 24 + -6x + 6x Combine like terms: -24x + 6x = -18x -34 + -18x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -34 + -18x = 24 + 0 -34 + -18x = 24 Add '34' to each side of the equation. -34 + 34 + -18x = 24 + 34 Combine like terms: -34 + 34 = 0 0 + -18x = 24 + 34 -18x = 24 + 34 Combine like terms: 24 + 34 = 58 -18x = 58 Divide each side by '-18'. x = -3.222222222 Simplifying x = -3.222222222
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