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Simplifying 2(3x + 14) = 3(x + 9) + -11 Reorder the terms: 2(14 + 3x) = 3(x + 9) + -11 (14 * 2 + 3x * 2) = 3(x + 9) + -11 (28 + 6x) = 3(x + 9) + -11 Reorder the terms: 28 + 6x = 3(9 + x) + -11 28 + 6x = (9 * 3 + x * 3) + -11 28 + 6x = (27 + 3x) + -11 Reorder the terms: 28 + 6x = 27 + -11 + 3x Combine like terms: 27 + -11 = 16 28 + 6x = 16 + 3x Solving 28 + 6x = 16 + 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. 28 + 6x + -3x = 16 + 3x + -3x Combine like terms: 6x + -3x = 3x 28 + 3x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 3x = 16 + 0 28 + 3x = 16 Add '-28' to each side of the equation. 28 + -28 + 3x = 16 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 16 + -28 3x = 16 + -28 Combine like terms: 16 + -28 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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