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Simplifying -8(x + -3) = x + -6(5x + 3) Reorder the terms: -8(-3 + x) = x + -6(5x + 3) (-3 * -8 + x * -8) = x + -6(5x + 3) (24 + -8x) = x + -6(5x + 3) Reorder the terms: 24 + -8x = x + -6(3 + 5x) 24 + -8x = x + (3 * -6 + 5x * -6) 24 + -8x = x + (-18 + -30x) Reorder the terms: 24 + -8x = -18 + x + -30x Combine like terms: x + -30x = -29x 24 + -8x = -18 + -29x Solving 24 + -8x = -18 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 24 + -8x + 29x = -18 + -29x + 29x Combine like terms: -8x + 29x = 21x 24 + 21x = -18 + -29x + 29x Combine like terms: -29x + 29x = 0 24 + 21x = -18 + 0 24 + 21x = -18 Add '-24' to each side of the equation. 24 + -24 + 21x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 21x = -18 + -24 21x = -18 + -24 Combine like terms: -18 + -24 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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