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Simplifying 2.40x + 4.00 = 1.40(5 + x) Reorder the terms: 4.00 + 2.40x = 1.40(5 + x) 4.00 + 2.40x = (5 * 1.40 + x * 1.40) 4.00 + 2.40x = (7 + 1.40x) Solving 4.00 + 2.40x = 7 + 1.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.40x' to each side of the equation. 4.00 + 2.40x + -1.40x = 7 + 1.40x + -1.40x Combine like terms: 2.40x + -1.40x = 1x 4.00 + 1x = 7 + 1.40x + -1.40x Combine like terms: 1.40x + -1.40x = 0.00 4.00 + 1x = 7 + 0.00 4.00 + 1x = 7 Add '-4.00' to each side of the equation. 4.00 + -4.00 + 1x = 7 + -4.00 Combine like terms: 4.00 + -4.00 = 0.00 0.00 + 1x = 7 + -4.00 1x = 7 + -4.00 Combine like terms: 7 + -4.00 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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