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Simplifying 10 + 0.20x = 70 + 0.2(500 + -1x) 10 + 0.20x = 70 + (500 * 0.2 + -1x * 0.2) 10 + 0.20x = 70 + (100 + -0.2x) Combine like terms: 70 + 100 = 170 10 + 0.20x = 170 + -0.2x Solving 10 + 0.20x = 170 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 10 + 0.20x + 0.2x = 170 + -0.2x + 0.2x Combine like terms: 0.20x + 0.2x = 0.4x 10 + 0.4x = 170 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 10 + 0.4x = 170 + 0.0 10 + 0.4x = 170 Add '-10' to each side of the equation. 10 + -10 + 0.4x = 170 + -10 Combine like terms: 10 + -10 = 0 0 + 0.4x = 170 + -10 0.4x = 170 + -10 Combine like terms: 170 + -10 = 160 0.4x = 160 Divide each side by '0.4'. x = 400 Simplifying x = 400
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