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Simplifying 2(x + -4) = 2 + -3(x + -5) Reorder the terms: 2(-4 + x) = 2 + -3(x + -5) (-4 * 2 + x * 2) = 2 + -3(x + -5) (-8 + 2x) = 2 + -3(x + -5) Reorder the terms: -8 + 2x = 2 + -3(-5 + x) -8 + 2x = 2 + (-5 * -3 + x * -3) -8 + 2x = 2 + (15 + -3x) Combine like terms: 2 + 15 = 17 -8 + 2x = 17 + -3x Solving -8 + 2x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 2x + 3x = 17 + -3x + 3x Combine like terms: 2x + 3x = 5x -8 + 5x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 5x = 17 + 0 -8 + 5x = 17 Add '8' to each side of the equation. -8 + 8 + 5x = 17 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 17 + 8 5x = 17 + 8 Combine like terms: 17 + 8 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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