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Simplifying 2(x + -3) + -4(x + -5) = 8 + -5x Reorder the terms: 2(-3 + x) + -4(x + -5) = 8 + -5x (-3 * 2 + x * 2) + -4(x + -5) = 8 + -5x (-6 + 2x) + -4(x + -5) = 8 + -5x Reorder the terms: -6 + 2x + -4(-5 + x) = 8 + -5x -6 + 2x + (-5 * -4 + x * -4) = 8 + -5x -6 + 2x + (20 + -4x) = 8 + -5x Reorder the terms: -6 + 20 + 2x + -4x = 8 + -5x Combine like terms: -6 + 20 = 14 14 + 2x + -4x = 8 + -5x Combine like terms: 2x + -4x = -2x 14 + -2x = 8 + -5x Solving 14 + -2x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 14 + -2x + 5x = 8 + -5x + 5x Combine like terms: -2x + 5x = 3x 14 + 3x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 3x = 8 + 0 14 + 3x = 8 Add '-14' to each side of the equation. 14 + -14 + 3x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 8 + -14 3x = 8 + -14 Combine like terms: 8 + -14 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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