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Simplifying 2(6 + -14x) + 3(8x + 8) = 24 (6 * 2 + -14x * 2) + 3(8x + 8) = 24 (12 + -28x) + 3(8x + 8) = 24 Reorder the terms: 12 + -28x + 3(8 + 8x) = 24 12 + -28x + (8 * 3 + 8x * 3) = 24 12 + -28x + (24 + 24x) = 24 Reorder the terms: 12 + 24 + -28x + 24x = 24 Combine like terms: 12 + 24 = 36 36 + -28x + 24x = 24 Combine like terms: -28x + 24x = -4x 36 + -4x = 24 Solving 36 + -4x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -4x = 24 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = 24 + -36 -4x = 24 + -36 Combine like terms: 24 + -36 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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