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Simplifying 3(x + -8) = 6(x + 1) + -18 Reorder the terms: 3(-8 + x) = 6(x + 1) + -18 (-8 * 3 + x * 3) = 6(x + 1) + -18 (-24 + 3x) = 6(x + 1) + -18 Reorder the terms: -24 + 3x = 6(1 + x) + -18 -24 + 3x = (1 * 6 + x * 6) + -18 -24 + 3x = (6 + 6x) + -18 Reorder the terms: -24 + 3x = 6 + -18 + 6x Combine like terms: 6 + -18 = -12 -24 + 3x = -12 + 6x Solving -24 + 3x = -12 + 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. -24 + 3x + -6x = -12 + 6x + -6x Combine like terms: 3x + -6x = -3x -24 + -3x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + -3x = -12 + 0 -24 + -3x = -12 Add '24' to each side of the equation. -24 + 24 + -3x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -12 + 24 -3x = -12 + 24 Combine like terms: -12 + 24 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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