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Simplifying 6(x + 2) + -7 = -3(x + 3) Reorder the terms: 6(2 + x) + -7 = -3(x + 3) (2 * 6 + x * 6) + -7 = -3(x + 3) (12 + 6x) + -7 = -3(x + 3) Reorder the terms: 12 + -7 + 6x = -3(x + 3) Combine like terms: 12 + -7 = 5 5 + 6x = -3(x + 3) Reorder the terms: 5 + 6x = -3(3 + x) 5 + 6x = (3 * -3 + x * -3) 5 + 6x = (-9 + -3x) Solving 5 + 6x = -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. 5 + 6x + 3x = -9 + -3x + 3x Combine like terms: 6x + 3x = 9x 5 + 9x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 9x = -9 + 0 5 + 9x = -9 Add '-5' to each side of the equation. 5 + -5 + 9x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = -9 + -5 9x = -9 + -5 Combine like terms: -9 + -5 = -14 9x = -14 Divide each side by '9'. x = -1.555555556 Simplifying x = -1.555555556
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