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Simplifying 5x + 10(-7 + x) = 10 + 5x 5x + (-7 * 10 + x * 10) = 10 + 5x 5x + (-70 + 10x) = 10 + 5x Reorder the terms: -70 + 5x + 10x = 10 + 5x Combine like terms: 5x + 10x = 15x -70 + 15x = 10 + 5x Solving -70 + 15x = 10 + 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 + 15x + -5x = 10 + 5x + -5x Combine like terms: 15x + -5x = 10x -70 + 10x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -70 + 10x = 10 + 0 -70 + 10x = 10 Add '70' to each side of the equation. -70 + 70 + 10x = 10 + 70 Combine like terms: -70 + 70 = 0 0 + 10x = 10 + 70 10x = 10 + 70 Combine like terms: 10 + 70 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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