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Simplifying 70 = 0.5(x + 90) + 0.5x Reorder the terms: 70 = 0.5(90 + x) + 0.5x 70 = (90 * 0.5 + x * 0.5) + 0.5x 70 = (45 + 0.5x) + 0.5x Combine like terms: 0.5x + 0.5x = 1x 70 = 45 + 1x Solving 70 = 45 + 1x 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. 70 + -1x = 45 + 1x + -1x Combine like terms: 1x + -1x = 0 70 + -1x = 45 + 0 70 + -1x = 45 Add '-70' to each side of the equation. 70 + -70 + -1x = 45 + -70 Combine like terms: 70 + -70 = 0 0 + -1x = 45 + -70 -1x = 45 + -70 Combine like terms: 45 + -70 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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