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Simplifying -5(2x + -7) = 5x + -10 Reorder the terms: -5(-7 + 2x) = 5x + -10 (-7 * -5 + 2x * -5) = 5x + -10 (35 + -10x) = 5x + -10 Reorder the terms: 35 + -10x = -10 + 5x Solving 35 + -10x = -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. 35 + -10x + -5x = -10 + 5x + -5x Combine like terms: -10x + -5x = -15x 35 + -15x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -15x = -10 + 0 35 + -15x = -10 Add '-35' to each side of the equation. 35 + -35 + -15x = -10 + -35 Combine like terms: 35 + -35 = 0 0 + -15x = -10 + -35 -15x = -10 + -35 Combine like terms: -10 + -35 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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