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Simplifying -4x + 2(5x + 1) + -5 = 6 + -3(2x + -1) Reorder the terms: -4x + 2(1 + 5x) + -5 = 6 + -3(2x + -1) -4x + (1 * 2 + 5x * 2) + -5 = 6 + -3(2x + -1) -4x + (2 + 10x) + -5 = 6 + -3(2x + -1) Reorder the terms: 2 + -5 + -4x + 10x = 6 + -3(2x + -1) Combine like terms: 2 + -5 = -3 -3 + -4x + 10x = 6 + -3(2x + -1) Combine like terms: -4x + 10x = 6x -3 + 6x = 6 + -3(2x + -1) Reorder the terms: -3 + 6x = 6 + -3(-1 + 2x) -3 + 6x = 6 + (-1 * -3 + 2x * -3) -3 + 6x = 6 + (3 + -6x) Combine like terms: 6 + 3 = 9 -3 + 6x = 9 + -6x Solving -3 + 6x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -3 + 6x + 6x = 9 + -6x + 6x Combine like terms: 6x + 6x = 12x -3 + 12x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -3 + 12x = 9 + 0 -3 + 12x = 9 Add '3' to each side of the equation. -3 + 3 + 12x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 9 + 3 12x = 9 + 3 Combine like terms: 9 + 3 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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