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Simplifying -5(2x + -5) = 2(x + -5) + -37 Reorder the terms: -5(-5 + 2x) = 2(x + -5) + -37 (-5 * -5 + 2x * -5) = 2(x + -5) + -37 (25 + -10x) = 2(x + -5) + -37 Reorder the terms: 25 + -10x = 2(-5 + x) + -37 25 + -10x = (-5 * 2 + x * 2) + -37 25 + -10x = (-10 + 2x) + -37 Reorder the terms: 25 + -10x = -10 + -37 + 2x Combine like terms: -10 + -37 = -47 25 + -10x = -47 + 2x Solving 25 + -10x = -47 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + -10x + -2x = -47 + 2x + -2x Combine like terms: -10x + -2x = -12x 25 + -12x = -47 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + -12x = -47 + 0 25 + -12x = -47 Add '-25' to each side of the equation. 25 + -25 + -12x = -47 + -25 Combine like terms: 25 + -25 = 0 0 + -12x = -47 + -25 -12x = -47 + -25 Combine like terms: -47 + -25 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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