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Simplifying 25 + -10(x + -5) + 2x = 6(2x + 10) + -5x Reorder the terms: 25 + -10(-5 + x) + 2x = 6(2x + 10) + -5x 25 + (-5 * -10 + x * -10) + 2x = 6(2x + 10) + -5x 25 + (50 + -10x) + 2x = 6(2x + 10) + -5x Combine like terms: 25 + 50 = 75 75 + -10x + 2x = 6(2x + 10) + -5x Combine like terms: -10x + 2x = -8x 75 + -8x = 6(2x + 10) + -5x Reorder the terms: 75 + -8x = 6(10 + 2x) + -5x 75 + -8x = (10 * 6 + 2x * 6) + -5x 75 + -8x = (60 + 12x) + -5x Combine like terms: 12x + -5x = 7x 75 + -8x = 60 + 7x Solving 75 + -8x = 60 + 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. 75 + -8x + -7x = 60 + 7x + -7x Combine like terms: -8x + -7x = -15x 75 + -15x = 60 + 7x + -7x Combine like terms: 7x + -7x = 0 75 + -15x = 60 + 0 75 + -15x = 60 Add '-75' to each side of the equation. 75 + -75 + -15x = 60 + -75 Combine like terms: 75 + -75 = 0 0 + -15x = 60 + -75 -15x = 60 + -75 Combine like terms: 60 + -75 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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