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Simplifying 12 + -3(x + 2) = 18 + 2(3x + 5) Reorder the terms: 12 + -3(2 + x) = 18 + 2(3x + 5) 12 + (2 * -3 + x * -3) = 18 + 2(3x + 5) 12 + (-6 + -3x) = 18 + 2(3x + 5) Combine like terms: 12 + -6 = 6 6 + -3x = 18 + 2(3x + 5) Reorder the terms: 6 + -3x = 18 + 2(5 + 3x) 6 + -3x = 18 + (5 * 2 + 3x * 2) 6 + -3x = 18 + (10 + 6x) Combine like terms: 18 + 10 = 28 6 + -3x = 28 + 6x Solving 6 + -3x = 28 + 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. 6 + -3x + -6x = 28 + 6x + -6x Combine like terms: -3x + -6x = -9x 6 + -9x = 28 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -9x = 28 + 0 6 + -9x = 28 Add '-6' to each side of the equation. 6 + -6 + -9x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 28 + -6 -9x = 28 + -6 Combine like terms: 28 + -6 = 22 -9x = 22 Divide each side by '-9'. x = -2.444444444 Simplifying x = -2.444444444
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