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Simplifying 80x + -160(x + -8) = 70(x + -1) Reorder the terms: 80x + -160(-8 + x) = 70(x + -1) 80x + (-8 * -160 + x * -160) = 70(x + -1) 80x + (1280 + -160x) = 70(x + -1) Reorder the terms: 1280 + 80x + -160x = 70(x + -1) Combine like terms: 80x + -160x = -80x 1280 + -80x = 70(x + -1) Reorder the terms: 1280 + -80x = 70(-1 + x) 1280 + -80x = (-1 * 70 + x * 70) 1280 + -80x = (-70 + 70x) Solving 1280 + -80x = -70 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 1280 + -80x + -70x = -70 + 70x + -70x Combine like terms: -80x + -70x = -150x 1280 + -150x = -70 + 70x + -70x Combine like terms: 70x + -70x = 0 1280 + -150x = -70 + 0 1280 + -150x = -70 Add '-1280' to each side of the equation. 1280 + -1280 + -150x = -70 + -1280 Combine like terms: 1280 + -1280 = 0 0 + -150x = -70 + -1280 -150x = -70 + -1280 Combine like terms: -70 + -1280 = -1350 -150x = -1350 Divide each side by '-150'. x = 9 Simplifying x = 9
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