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Simplifying 0.30x + 0.80(40) = 0.70(x + 0.40) Multiply 0.80 * 40 0.30x + 32 = 0.70(x + 0.40) Reorder the terms: 32 + 0.30x = 0.70(x + 0.40) Reorder the terms: 32 + 0.30x = 0.70(0.40 + x) 32 + 0.30x = (0.40 * 0.70 + x * 0.70) 32 + 0.30x = (0.28 + 0.70x) Solving 32 + 0.30x = 0.28 + 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. 32 + 0.30x + -0.70x = 0.28 + 0.70x + -0.70x Combine like terms: 0.30x + -0.70x = -0.4x 32 + -0.4x = 0.28 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 32 + -0.4x = 0.28 + 0.00 32 + -0.4x = 0.28 Add '-32' to each side of the equation. 32 + -32 + -0.4x = 0.28 + -32 Combine like terms: 32 + -32 = 0 0 + -0.4x = 0.28 + -32 -0.4x = 0.28 + -32 Combine like terms: 0.28 + -32 = -31.72 -0.4x = -31.72 Divide each side by '-0.4'. x = 79.3 Simplifying x = 79.3
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