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Simplifying 3(2x + 1) + -1(-1x + -4) = -2 Reorder the terms: 3(1 + 2x) + -1(-1x + -4) = -2 (1 * 3 + 2x * 3) + -1(-1x + -4) = -2 (3 + 6x) + -1(-1x + -4) = -2 Reorder the terms: 3 + 6x + -1(-4 + -1x) = -2 3 + 6x + (-4 * -1 + -1x * -1) = -2 3 + 6x + (4 + 1x) = -2 Reorder the terms: 3 + 4 + 6x + 1x = -2 Combine like terms: 3 + 4 = 7 7 + 6x + 1x = -2 Combine like terms: 6x + 1x = 7x 7 + 7x = -2 Solving 7 + 7x = -2 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 + 7x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = -2 + -7 7x = -2 + -7 Combine like terms: -2 + -7 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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