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