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Simplifying 2(3x + 5) + -4(2x + -1) = 6 Reorder the terms: 2(5 + 3x) + -4(2x + -1) = 6 (5 * 2 + 3x * 2) + -4(2x + -1) = 6 (10 + 6x) + -4(2x + -1) = 6 Reorder the terms: 10 + 6x + -4(-1 + 2x) = 6 10 + 6x + (-1 * -4 + 2x * -4) = 6 10 + 6x + (4 + -8x) = 6 Reorder the terms: 10 + 4 + 6x + -8x = 6 Combine like terms: 10 + 4 = 14 14 + 6x + -8x = 6 Combine like terms: 6x + -8x = -2x 14 + -2x = 6 Solving 14 + -2x = 6 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 = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 6 + -14 -2x = 6 + -14 Combine like terms: 6 + -14 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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