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Simplifying 27 + -3(-2x + -2) = 162x + 189 Reorder the terms: 27 + -3(-2 + -2x) = 162x + 189 27 + (-2 * -3 + -2x * -3) = 162x + 189 27 + (6 + 6x) = 162x + 189 Combine like terms: 27 + 6 = 33 33 + 6x = 162x + 189 Reorder the terms: 33 + 6x = 189 + 162x Solving 33 + 6x = 189 + 162x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-162x' to each side of the equation. 33 + 6x + -162x = 189 + 162x + -162x Combine like terms: 6x + -162x = -156x 33 + -156x = 189 + 162x + -162x Combine like terms: 162x + -162x = 0 33 + -156x = 189 + 0 33 + -156x = 189 Add '-33' to each side of the equation. 33 + -33 + -156x = 189 + -33 Combine like terms: 33 + -33 = 0 0 + -156x = 189 + -33 -156x = 189 + -33 Combine like terms: 189 + -33 = 156 -156x = 156 Divide each side by '-156'. x = -1 Simplifying x = -1
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