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Simplifying 6(2x + -4) + 2(x + 3) = 7 Reorder the terms: 6(-4 + 2x) + 2(x + 3) = 7 (-4 * 6 + 2x * 6) + 2(x + 3) = 7 (-24 + 12x) + 2(x + 3) = 7 Reorder the terms: -24 + 12x + 2(3 + x) = 7 -24 + 12x + (3 * 2 + x * 2) = 7 -24 + 12x + (6 + 2x) = 7 Reorder the terms: -24 + 6 + 12x + 2x = 7 Combine like terms: -24 + 6 = -18 -18 + 12x + 2x = 7 Combine like terms: 12x + 2x = 14x -18 + 14x = 7 Solving -18 + 14x = 7 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 + 14x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = 7 + 18 14x = 7 + 18 Combine like terms: 7 + 18 = 25 14x = 25 Divide each side by '14'. x = 1.785714286 Simplifying x = 1.785714286
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