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Simplifying 100 + 0.40x = 110 + 0.40(100 + -1x) 100 + 0.40x = 110 + (100 * 0.40 + -1x * 0.40) 100 + 0.40x = 110 + (40 + -0.4x) Combine like terms: 110 + 40 = 150 100 + 0.40x = 150 + -0.4x Solving 100 + 0.40x = 150 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 100 + 0.40x + 0.4x = 150 + -0.4x + 0.4x Combine like terms: 0.40x + 0.4x = 0.8x 100 + 0.8x = 150 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 100 + 0.8x = 150 + 0.0 100 + 0.8x = 150 Add '-100' to each side of the equation. 100 + -100 + 0.8x = 150 + -100 Combine like terms: 100 + -100 = 0 0 + 0.8x = 150 + -100 0.8x = 150 + -100 Combine like terms: 150 + -100 = 50 0.8x = 50 Divide each side by '0.8'. x = 62.5 Simplifying x = 62.5
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