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Simplifying 2(x + -5) + -5x = 8 + -3(5x + -2) Reorder the terms: 2(-5 + x) + -5x = 8 + -3(5x + -2) (-5 * 2 + x * 2) + -5x = 8 + -3(5x + -2) (-10 + 2x) + -5x = 8 + -3(5x + -2) Combine like terms: 2x + -5x = -3x -10 + -3x = 8 + -3(5x + -2) Reorder the terms: -10 + -3x = 8 + -3(-2 + 5x) -10 + -3x = 8 + (-2 * -3 + 5x * -3) -10 + -3x = 8 + (6 + -15x) Combine like terms: 8 + 6 = 14 -10 + -3x = 14 + -15x Solving -10 + -3x = 14 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -10 + -3x + 15x = 14 + -15x + 15x Combine like terms: -3x + 15x = 12x -10 + 12x = 14 + -15x + 15x Combine like terms: -15x + 15x = 0 -10 + 12x = 14 + 0 -10 + 12x = 14 Add '10' to each side of the equation. -10 + 10 + 12x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 14 + 10 12x = 14 + 10 Combine like terms: 14 + 10 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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