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Simplifying 2(x + 14) = 3x + -8 + 24 Reorder the terms: 2(14 + x) = 3x + -8 + 24 (14 * 2 + x * 2) = 3x + -8 + 24 (28 + 2x) = 3x + -8 + 24 Reorder the terms: 28 + 2x = -8 + 24 + 3x Combine like terms: -8 + 24 = 16 28 + 2x = 16 + 3x Solving 28 + 2x = 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 + 2x + -3x = 16 + 3x + -3x Combine like terms: 2x + -3x = -1x 28 + -1x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -1x = 16 + 0 28 + -1x = 16 Add '-28' to each side of the equation. 28 + -28 + -1x = 16 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 16 + -28 -1x = 16 + -28 Combine like terms: 16 + -28 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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