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Simplifying 2(3x + -4) + (6x + -2) = -3(3 + -5x) + 5x + -1 Reorder the terms: 2(-4 + 3x) + (6x + -2) = -3(3 + -5x) + 5x + -1 (-4 * 2 + 3x * 2) + (6x + -2) = -3(3 + -5x) + 5x + -1 (-8 + 6x) + (6x + -2) = -3(3 + -5x) + 5x + -1 Reorder the terms: -8 + 6x + (-2 + 6x) = -3(3 + -5x) + 5x + -1 Remove parenthesis around (-2 + 6x) -8 + 6x + -2 + 6x = -3(3 + -5x) + 5x + -1 Reorder the terms: -8 + -2 + 6x + 6x = -3(3 + -5x) + 5x + -1 Combine like terms: -8 + -2 = -10 -10 + 6x + 6x = -3(3 + -5x) + 5x + -1 Combine like terms: 6x + 6x = 12x -10 + 12x = -3(3 + -5x) + 5x + -1 -10 + 12x = (3 * -3 + -5x * -3) + 5x + -1 -10 + 12x = (-9 + 15x) + 5x + -1 Reorder the terms: -10 + 12x = -9 + -1 + 15x + 5x Combine like terms: -9 + -1 = -10 -10 + 12x = -10 + 15x + 5x Combine like terms: 15x + 5x = 20x -10 + 12x = -10 + 20x Add '10' to each side of the equation. -10 + 10 + 12x = -10 + 10 + 20x Combine like terms: -10 + 10 = 0 0 + 12x = -10 + 10 + 20x 12x = -10 + 10 + 20x Combine like terms: -10 + 10 = 0 12x = 0 + 20x 12x = 20x Solving 12x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12x + -20x = 20x + -20x Combine like terms: 12x + -20x = -8x -8x = 20x + -20x Combine like terms: 20x + -20x = 0 -8x = 0 Divide each side by '-8'. x = 0 Simplifying x = 0
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