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Simplifying 70(8x + 16) = 140(x + 2) Reorder the terms: 70(16 + 8x) = 140(x + 2) (16 * 70 + 8x * 70) = 140(x + 2) (1120 + 560x) = 140(x + 2) Reorder the terms: 1120 + 560x = 140(2 + x) 1120 + 560x = (2 * 140 + x * 140) 1120 + 560x = (280 + 140x) Solving 1120 + 560x = 280 + 140x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140x' to each side of the equation. 1120 + 560x + -140x = 280 + 140x + -140x Combine like terms: 560x + -140x = 420x 1120 + 420x = 280 + 140x + -140x Combine like terms: 140x + -140x = 0 1120 + 420x = 280 + 0 1120 + 420x = 280 Add '-1120' to each side of the equation. 1120 + -1120 + 420x = 280 + -1120 Combine like terms: 1120 + -1120 = 0 0 + 420x = 280 + -1120 420x = 280 + -1120 Combine like terms: 280 + -1120 = -840 420x = -840 Divide each side by '420'. x = -2 Simplifying x = -2
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