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Simplifying 3(x + 3) = 2[14 + -2(3 + -1x) + 9] Reorder the terms: 3(3 + x) = 2[14 + -2(3 + -1x) + 9] (3 * 3 + x * 3) = 2[14 + -2(3 + -1x) + 9] (9 + 3x) = 2[14 + -2(3 + -1x) + 9] 9 + 3x = 2[14 + (3 * -2 + -1x * -2) + 9] 9 + 3x = 2[14 + (-6 + 2x) + 9] Reorder the terms: 9 + 3x = 2[14 + -6 + 9 + 2x] Combine like terms: 14 + -6 = 8 9 + 3x = 2[8 + 9 + 2x] Combine like terms: 8 + 9 = 17 9 + 3x = 2[17 + 2x] 9 + 3x = [17 * 2 + 2x * 2] 9 + 3x = [34 + 4x] Solving 9 + 3x = 34 + 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. 9 + 3x + -4x = 34 + 4x + -4x Combine like terms: 3x + -4x = -1x 9 + -1x = 34 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -1x = 34 + 0 9 + -1x = 34 Add '-9' to each side of the equation. 9 + -9 + -1x = 34 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 34 + -9 -1x = 34 + -9 Combine like terms: 34 + -9 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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