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Simplifying 4(2x + -1) + -2(3x + 7) = 2 Reorder the terms: 4(-1 + 2x) + -2(3x + 7) = 2 (-1 * 4 + 2x * 4) + -2(3x + 7) = 2 (-4 + 8x) + -2(3x + 7) = 2 Reorder the terms: -4 + 8x + -2(7 + 3x) = 2 -4 + 8x + (7 * -2 + 3x * -2) = 2 -4 + 8x + (-14 + -6x) = 2 Reorder the terms: -4 + -14 + 8x + -6x = 2 Combine like terms: -4 + -14 = -18 -18 + 8x + -6x = 2 Combine like terms: 8x + -6x = 2x -18 + 2x = 2 Solving -18 + 2x = 2 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 + 2x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 2 + 18 2x = 2 + 18 Combine like terms: 2 + 18 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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