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Simplifying 7(5x + 4) + -3(6x + -5) = 162 Reorder the terms: 7(4 + 5x) + -3(6x + -5) = 162 (4 * 7 + 5x * 7) + -3(6x + -5) = 162 (28 + 35x) + -3(6x + -5) = 162 Reorder the terms: 28 + 35x + -3(-5 + 6x) = 162 28 + 35x + (-5 * -3 + 6x * -3) = 162 28 + 35x + (15 + -18x) = 162 Reorder the terms: 28 + 15 + 35x + -18x = 162 Combine like terms: 28 + 15 = 43 43 + 35x + -18x = 162 Combine like terms: 35x + -18x = 17x 43 + 17x = 162 Solving 43 + 17x = 162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 17x = 162 + -43 Combine like terms: 43 + -43 = 0 0 + 17x = 162 + -43 17x = 162 + -43 Combine like terms: 162 + -43 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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