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Simplifying 3(2x + 2) + -1(4x + -1) = 0 Reorder the terms: 3(2 + 2x) + -1(4x + -1) = 0 (2 * 3 + 2x * 3) + -1(4x + -1) = 0 (6 + 6x) + -1(4x + -1) = 0 Reorder the terms: 6 + 6x + -1(-1 + 4x) = 0 6 + 6x + (-1 * -1 + 4x * -1) = 0 6 + 6x + (1 + -4x) = 0 Reorder the terms: 6 + 1 + 6x + -4x = 0 Combine like terms: 6 + 1 = 7 7 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 7 + 2x = 0 Solving 7 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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