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Simplifying x + 20(70 + -6x) = 200 + x x + (70 * 20 + -6x * 20) = 200 + x x + (1400 + -120x) = 200 + x Reorder the terms: 1400 + x + -120x = 200 + x Combine like terms: x + -120x = -119x 1400 + -119x = 200 + x Solving 1400 + -119x = 200 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1400 + -119x + -1x = 200 + x + -1x Combine like terms: -119x + -1x = -120x 1400 + -120x = 200 + x + -1x Combine like terms: x + -1x = 0 1400 + -120x = 200 + 0 1400 + -120x = 200 Add '-1400' to each side of the equation. 1400 + -1400 + -120x = 200 + -1400 Combine like terms: 1400 + -1400 = 0 0 + -120x = 200 + -1400 -120x = 200 + -1400 Combine like terms: 200 + -1400 = -1200 -120x = -1200 Divide each side by '-120'. x = 10 Simplifying x = 10
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