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Simplifying 150 = 10(x + -55) + 50 Reorder the terms: 150 = 10(-55 + x) + 50 150 = (-55 * 10 + x * 10) + 50 150 = (-550 + 10x) + 50 Reorder the terms: 150 = -550 + 50 + 10x Combine like terms: -550 + 50 = -500 150 = -500 + 10x Solving 150 = -500 + 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. 150 + -10x = -500 + 10x + -10x Combine like terms: 10x + -10x = 0 150 + -10x = -500 + 0 150 + -10x = -500 Add '-150' to each side of the equation. 150 + -150 + -10x = -500 + -150 Combine like terms: 150 + -150 = 0 0 + -10x = -500 + -150 -10x = -500 + -150 Combine like terms: -500 + -150 = -650 -10x = -650 Divide each side by '-10'. x = 65 Simplifying x = 65
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