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Simplifying 3x + 27 = 3(2x + -2) Reorder the terms: 27 + 3x = 3(2x + -2) Reorder the terms: 27 + 3x = 3(-2 + 2x) 27 + 3x = (-2 * 3 + 2x * 3) 27 + 3x = (-6 + 6x) Solving 27 + 3x = -6 + 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. 27 + 3x + -6x = -6 + 6x + -6x Combine like terms: 3x + -6x = -3x 27 + -3x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -3x = -6 + 0 27 + -3x = -6 Add '-27' to each side of the equation. 27 + -27 + -3x = -6 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = -6 + -27 -3x = -6 + -27 Combine like terms: -6 + -27 = -33 -3x = -33 Divide each side by '-3'. x = 11 Simplifying x = 11
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