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Simplifying 0.40(7) = 0.70(7 + x) Multiply 0.40 * 7 2.8 = 0.70(7 + x) 2.8 = (7 * 0.70 + x * 0.70) 2.8 = (4.9 + 0.70x) Solving 2.8 = 4.9 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 2.8 + -0.70x = 4.9 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 2.8 + -0.70x = 4.9 + 0.00 2.8 + -0.70x = 4.9 Add '-2.8' to each side of the equation. 2.8 + -2.8 + -0.70x = 4.9 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + -0.70x = 4.9 + -2.8 -0.70x = 4.9 + -2.8 Combine like terms: 4.9 + -2.8 = 2.1 -0.70x = 2.1 Divide each side by '-0.70'. x = -3 Simplifying x = -3
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