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Simplifying 3(2x + -4) + -1(4x + 2) = 7 Reorder the terms: 3(-4 + 2x) + -1(4x + 2) = 7 (-4 * 3 + 2x * 3) + -1(4x + 2) = 7 (-12 + 6x) + -1(4x + 2) = 7 Reorder the terms: -12 + 6x + -1(2 + 4x) = 7 -12 + 6x + (2 * -1 + 4x * -1) = 7 -12 + 6x + (-2 + -4x) = 7 Reorder the terms: -12 + -2 + 6x + -4x = 7 Combine like terms: -12 + -2 = -14 -14 + 6x + -4x = 7 Combine like terms: 6x + -4x = 2x -14 + 2x = 7 Solving -14 + 2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 7 + 14 2x = 7 + 14 Combine like terms: 7 + 14 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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