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Simplifying (x + -6) * 3 = 27(x + -8) Reorder the terms: (-6 + x) * 3 = 27(x + -8) Reorder the terms for easier multiplication: 3(-6 + x) = 27(x + -8) (-6 * 3 + x * 3) = 27(x + -8) (-18 + 3x) = 27(x + -8) Reorder the terms: -18 + 3x = 27(-8 + x) -18 + 3x = (-8 * 27 + x * 27) -18 + 3x = (-216 + 27x) Solving -18 + 3x = -216 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -18 + 3x + -27x = -216 + 27x + -27x Combine like terms: 3x + -27x = -24x -18 + -24x = -216 + 27x + -27x Combine like terms: 27x + -27x = 0 -18 + -24x = -216 + 0 -18 + -24x = -216 Add '18' to each side of the equation. -18 + 18 + -24x = -216 + 18 Combine like terms: -18 + 18 = 0 0 + -24x = -216 + 18 -24x = -216 + 18 Combine like terms: -216 + 18 = -198 -24x = -198 Divide each side by '-24'. x = 8.25 Simplifying x = 8.25
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