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Simplifying 4(3x + -1) + -2(x + 7) = 6 Reorder the terms: 4(-1 + 3x) + -2(x + 7) = 6 (-1 * 4 + 3x * 4) + -2(x + 7) = 6 (-4 + 12x) + -2(x + 7) = 6 Reorder the terms: -4 + 12x + -2(7 + x) = 6 -4 + 12x + (7 * -2 + x * -2) = 6 -4 + 12x + (-14 + -2x) = 6 Reorder the terms: -4 + -14 + 12x + -2x = 6 Combine like terms: -4 + -14 = -18 -18 + 12x + -2x = 6 Combine like terms: 12x + -2x = 10x -18 + 10x = 6 Solving -18 + 10x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 10x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 6 + 18 10x = 6 + 18 Combine like terms: 6 + 18 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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