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Simplifying 2(x + -10) = 7(x + -5) Reorder the terms: 2(-10 + x) = 7(x + -5) (-10 * 2 + x * 2) = 7(x + -5) (-20 + 2x) = 7(x + -5) Reorder the terms: -20 + 2x = 7(-5 + x) -20 + 2x = (-5 * 7 + x * 7) -20 + 2x = (-35 + 7x) Solving -20 + 2x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 2x + -7x = -35 + 7x + -7x Combine like terms: 2x + -7x = -5x -20 + -5x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -5x = -35 + 0 -20 + -5x = -35 Add '20' to each side of the equation. -20 + 20 + -5x = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = -35 + 20 -5x = -35 + 20 Combine like terms: -35 + 20 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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