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