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Simplifying 270 = 10(x + -70) + 100 Reorder the terms: 270 = 10(-70 + x) + 100 270 = (-70 * 10 + x * 10) + 100 270 = (-700 + 10x) + 100 Reorder the terms: 270 = -700 + 100 + 10x Combine like terms: -700 + 100 = -600 270 = -600 + 10x Solving 270 = -600 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 270 + -10x = -600 + 10x + -10x Combine like terms: 10x + -10x = 0 270 + -10x = -600 + 0 270 + -10x = -600 Add '-270' to each side of the equation. 270 + -270 + -10x = -600 + -270 Combine like terms: 270 + -270 = 0 0 + -10x = -600 + -270 -10x = -600 + -270 Combine like terms: -600 + -270 = -870 -10x = -870 Divide each side by '-10'. x = 87 Simplifying x = 87
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