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Simplifying 3(2x + -1) + -2(x + 4) = -1(x + 6) Reorder the terms: 3(-1 + 2x) + -2(x + 4) = -1(x + 6) (-1 * 3 + 2x * 3) + -2(x + 4) = -1(x + 6) (-3 + 6x) + -2(x + 4) = -1(x + 6) Reorder the terms: -3 + 6x + -2(4 + x) = -1(x + 6) -3 + 6x + (4 * -2 + x * -2) = -1(x + 6) -3 + 6x + (-8 + -2x) = -1(x + 6) Reorder the terms: -3 + -8 + 6x + -2x = -1(x + 6) Combine like terms: -3 + -8 = -11 -11 + 6x + -2x = -1(x + 6) Combine like terms: 6x + -2x = 4x -11 + 4x = -1(x + 6) Reorder the terms: -11 + 4x = -1(6 + x) -11 + 4x = (6 * -1 + x * -1) -11 + 4x = (-6 + -1x) Solving -11 + 4x = -6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -11 + 4x + x = -6 + -1x + x Combine like terms: 4x + x = 5x -11 + 5x = -6 + -1x + x Combine like terms: -1x + x = 0 -11 + 5x = -6 + 0 -11 + 5x = -6 Add '11' to each side of the equation. -11 + 11 + 5x = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = -6 + 11 5x = -6 + 11 Combine like terms: -6 + 11 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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