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Simplifying 7(4x + 5) + -3(6x + -4) = 314 Reorder the terms: 7(5 + 4x) + -3(6x + -4) = 314 (5 * 7 + 4x * 7) + -3(6x + -4) = 314 (35 + 28x) + -3(6x + -4) = 314 Reorder the terms: 35 + 28x + -3(-4 + 6x) = 314 35 + 28x + (-4 * -3 + 6x * -3) = 314 35 + 28x + (12 + -18x) = 314 Reorder the terms: 35 + 12 + 28x + -18x = 314 Combine like terms: 35 + 12 = 47 47 + 28x + -18x = 314 Combine like terms: 28x + -18x = 10x 47 + 10x = 314 Solving 47 + 10x = 314 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 10x = 314 + -47 Combine like terms: 47 + -47 = 0 0 + 10x = 314 + -47 10x = 314 + -47 Combine like terms: 314 + -47 = 267 10x = 267 Divide each side by '10'. x = 26.7 Simplifying x = 26.7
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