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Simplifying 4(14 + 12x) + 10(8 + -14x) = 688 (14 * 4 + 12x * 4) + 10(8 + -14x) = 688 (56 + 48x) + 10(8 + -14x) = 688 56 + 48x + (8 * 10 + -14x * 10) = 688 56 + 48x + (80 + -140x) = 688 Reorder the terms: 56 + 80 + 48x + -140x = 688 Combine like terms: 56 + 80 = 136 136 + 48x + -140x = 688 Combine like terms: 48x + -140x = -92x 136 + -92x = 688 Solving 136 + -92x = 688 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-136' to each side of the equation. 136 + -136 + -92x = 688 + -136 Combine like terms: 136 + -136 = 0 0 + -92x = 688 + -136 -92x = 688 + -136 Combine like terms: 688 + -136 = 552 -92x = 552 Divide each side by '-92'. x = -6 Simplifying x = -6
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