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Simplifying 100 = 5(x + -70) + 50 Reorder the terms: 100 = 5(-70 + x) + 50 100 = (-70 * 5 + x * 5) + 50 100 = (-350 + 5x) + 50 Reorder the terms: 100 = -350 + 50 + 5x Combine like terms: -350 + 50 = -300 100 = -300 + 5x Solving 100 = -300 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 100 + -5x = -300 + 5x + -5x Combine like terms: 5x + -5x = 0 100 + -5x = -300 + 0 100 + -5x = -300 Add '-100' to each side of the equation. 100 + -100 + -5x = -300 + -100 Combine like terms: 100 + -100 = 0 0 + -5x = -300 + -100 -5x = -300 + -100 Combine like terms: -300 + -100 = -400 -5x = -400 Divide each side by '-5'. x = 80 Simplifying x = 80
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