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Simplifying 12(x + 3) = 27 + 18(x + -5) Reorder the terms: 12(3 + x) = 27 + 18(x + -5) (3 * 12 + x * 12) = 27 + 18(x + -5) (36 + 12x) = 27 + 18(x + -5) Reorder the terms: 36 + 12x = 27 + 18(-5 + x) 36 + 12x = 27 + (-5 * 18 + x * 18) 36 + 12x = 27 + (-90 + 18x) Combine like terms: 27 + -90 = -63 36 + 12x = -63 + 18x Solving 36 + 12x = -63 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 36 + 12x + -18x = -63 + 18x + -18x Combine like terms: 12x + -18x = -6x 36 + -6x = -63 + 18x + -18x Combine like terms: 18x + -18x = 0 36 + -6x = -63 + 0 36 + -6x = -63 Add '-36' to each side of the equation. 36 + -36 + -6x = -63 + -36 Combine like terms: 36 + -36 = 0 0 + -6x = -63 + -36 -6x = -63 + -36 Combine like terms: -63 + -36 = -99 -6x = -99 Divide each side by '-6'. x = 16.5 Simplifying x = 16.5
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