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