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Simplifying 27 + -45 = 3(x + -1) + -6 Combine like terms: 27 + -45 = -18 -18 = 3(x + -1) + -6 Reorder the terms: -18 = 3(-1 + x) + -6 -18 = (-1 * 3 + x * 3) + -6 -18 = (-3 + 3x) + -6 Reorder the terms: -18 = -3 + -6 + 3x Combine like terms: -3 + -6 = -9 -18 = -9 + 3x Solving -18 = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + -3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -3x = -9 + 0 -18 + -3x = -9 Add '18' to each side of the equation. -18 + 18 + -3x = -9 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -9 + 18 -3x = -9 + 18 Combine like terms: -9 + 18 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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