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Simplifying -5x + 4x = 2(-4x + 5) + -3(6 + -1x) Combine like terms: -5x + 4x = -1x -1x = 2(-4x + 5) + -3(6 + -1x) Reorder the terms: -1x = 2(5 + -4x) + -3(6 + -1x) -1x = (5 * 2 + -4x * 2) + -3(6 + -1x) -1x = (10 + -8x) + -3(6 + -1x) -1x = 10 + -8x + (6 * -3 + -1x * -3) -1x = 10 + -8x + (-18 + 3x) Reorder the terms: -1x = 10 + -18 + -8x + 3x Combine like terms: 10 + -18 = -8 -1x = -8 + -8x + 3x Combine like terms: -8x + 3x = -5x -1x = -8 + -5x Solving -1x = -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. -1x + 5x = -8 + -5x + 5x Combine like terms: -1x + 5x = 4x 4x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 4x = -8 + 0 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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