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Simplifying 6(2x + -1) = 4 + -2(x + -3) Reorder the terms: 6(-1 + 2x) = 4 + -2(x + -3) (-1 * 6 + 2x * 6) = 4 + -2(x + -3) (-6 + 12x) = 4 + -2(x + -3) Reorder the terms: -6 + 12x = 4 + -2(-3 + x) -6 + 12x = 4 + (-3 * -2 + x * -2) -6 + 12x = 4 + (6 + -2x) Combine like terms: 4 + 6 = 10 -6 + 12x = 10 + -2x Solving -6 + 12x = 10 + -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. -6 + 12x + 2x = 10 + -2x + 2x Combine like terms: 12x + 2x = 14x -6 + 14x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 14x = 10 + 0 -6 + 14x = 10 Add '6' to each side of the equation. -6 + 6 + 14x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 10 + 6 14x = 10 + 6 Combine like terms: 10 + 6 = 16 14x = 16 Divide each side by '14'. x = 1.142857143 Simplifying x = 1.142857143
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