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Simplifying 2(3x + -4) + 5x = -5(1 + -1x) + 3x Reorder the terms: 2(-4 + 3x) + 5x = -5(1 + -1x) + 3x (-4 * 2 + 3x * 2) + 5x = -5(1 + -1x) + 3x (-8 + 6x) + 5x = -5(1 + -1x) + 3x Combine like terms: 6x + 5x = 11x -8 + 11x = -5(1 + -1x) + 3x -8 + 11x = (1 * -5 + -1x * -5) + 3x -8 + 11x = (-5 + 5x) + 3x Combine like terms: 5x + 3x = 8x -8 + 11x = -5 + 8x Solving -8 + 11x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 11x + -8x = -5 + 8x + -8x Combine like terms: 11x + -8x = 3x -8 + 3x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 3x = -5 + 0 -8 + 3x = -5 Add '8' to each side of the equation. -8 + 8 + 3x = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -5 + 8 3x = -5 + 8 Combine like terms: -5 + 8 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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