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Simplifying -1(3x + -4x + 5) + 7x = 6x + -2(3 + -2x) Reorder the terms: -1(5 + 3x + -4x) + 7x = 6x + -2(3 + -2x) Combine like terms: 3x + -4x = -1x -1(5 + -1x) + 7x = 6x + -2(3 + -2x) (5 * -1 + -1x * -1) + 7x = 6x + -2(3 + -2x) (-5 + 1x) + 7x = 6x + -2(3 + -2x) Combine like terms: 1x + 7x = 8x -5 + 8x = 6x + -2(3 + -2x) -5 + 8x = 6x + (3 * -2 + -2x * -2) -5 + 8x = 6x + (-6 + 4x) Reorder the terms: -5 + 8x = -6 + 6x + 4x Combine like terms: 6x + 4x = 10x -5 + 8x = -6 + 10x Solving -5 + 8x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 8x + -10x = -6 + 10x + -10x Combine like terms: 8x + -10x = -2x -5 + -2x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -2x = -6 + 0 -5 + -2x = -6 Add '5' to each side of the equation. -5 + 5 + -2x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -6 + 5 -2x = -6 + 5 Combine like terms: -6 + 5 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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