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Simplifying 0.40(7) + x = 0.60(7 + x) Multiply 0.40 * 7 2.8 + x = 0.60(7 + x) 2.8 + x = (7 * 0.60 + x * 0.60) 2.8 + x = (4.2 + 0.60x) Solving 2.8 + x = 4.2 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 2.8 + x + -0.60x = 4.2 + 0.60x + -0.60x Combine like terms: x + -0.60x = 0.4x 2.8 + 0.4x = 4.2 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 2.8 + 0.4x = 4.2 + 0.00 2.8 + 0.4x = 4.2 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 0.4x = 4.2 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.4x = 4.2 + -2.8 0.4x = 4.2 + -2.8 Combine like terms: 4.2 + -2.8 = 1.4 0.4x = 1.4 Divide each side by '0.4'. x = 3.5 Simplifying x = 3.5
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