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Simplifying 7(4x + 5) + 3(2x + -4) = 74 Reorder the terms: 7(5 + 4x) + 3(2x + -4) = 74 (5 * 7 + 4x * 7) + 3(2x + -4) = 74 (35 + 28x) + 3(2x + -4) = 74 Reorder the terms: 35 + 28x + 3(-4 + 2x) = 74 35 + 28x + (-4 * 3 + 2x * 3) = 74 35 + 28x + (-12 + 6x) = 74 Reorder the terms: 35 + -12 + 28x + 6x = 74 Combine like terms: 35 + -12 = 23 23 + 28x + 6x = 74 Combine like terms: 28x + 6x = 34x 23 + 34x = 74 Solving 23 + 34x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 34x = 74 + -23 Combine like terms: 23 + -23 = 0 0 + 34x = 74 + -23 34x = 74 + -23 Combine like terms: 74 + -23 = 51 34x = 51 Divide each side by '34'. x = 1.5 Simplifying x = 1.5
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