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Simplifying x + 0.40(7) = 0.70(x + 7) Multiply 0.40 * 7 x + 2.8 = 0.70(x + 7) Reorder the terms: 2.8 + x = 0.70(x + 7) Reorder the terms: 2.8 + x = 0.70(7 + x) 2.8 + x = (7 * 0.70 + x * 0.70) 2.8 + x = (4.9 + 0.70x) Solving 2.8 + x = 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 + x + -0.70x = 4.9 + 0.70x + -0.70x Combine like terms: x + -0.70x = 0.3x 2.8 + 0.3x = 4.9 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 2.8 + 0.3x = 4.9 + 0.00 2.8 + 0.3x = 4.9 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 0.3x = 4.9 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.3x = 4.9 + -2.8 0.3x = 4.9 + -2.8 Combine like terms: 4.9 + -2.8 = 2.1 0.3x = 2.1 Divide each side by '0.3'. x = 7 Simplifying x = 7
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