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Simplifying 3(3 + -2x) + 27 = 2(3 + 2x) (3 * 3 + -2x * 3) + 27 = 2(3 + 2x) (9 + -6x) + 27 = 2(3 + 2x) Reorder the terms: 9 + 27 + -6x = 2(3 + 2x) Combine like terms: 9 + 27 = 36 36 + -6x = 2(3 + 2x) 36 + -6x = (3 * 2 + 2x * 2) 36 + -6x = (6 + 4x) Solving 36 + -6x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 36 + -6x + -4x = 6 + 4x + -4x Combine like terms: -6x + -4x = -10x 36 + -10x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 36 + -10x = 6 + 0 36 + -10x = 6 Add '-36' to each side of the equation. 36 + -36 + -10x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = 6 + -36 -10x = 6 + -36 Combine like terms: 6 + -36 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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