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Simplifying 10(x + -7) = 5x + -35 Reorder the terms: 10(-7 + x) = 5x + -35 (-7 * 10 + x * 10) = 5x + -35 (-70 + 10x) = 5x + -35 Reorder the terms: -70 + 10x = -35 + 5x Solving -70 + 10x = -35 + 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. -70 + 10x + -5x = -35 + 5x + -5x Combine like terms: 10x + -5x = 5x -70 + 5x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -70 + 5x = -35 + 0 -70 + 5x = -35 Add '70' to each side of the equation. -70 + 70 + 5x = -35 + 70 Combine like terms: -70 + 70 = 0 0 + 5x = -35 + 70 5x = -35 + 70 Combine like terms: -35 + 70 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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