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Simplifying -4(3 + -1x) + 6 = 2x + -6 (3 * -4 + -1x * -4) + 6 = 2x + -6 (-12 + 4x) + 6 = 2x + -6 Reorder the terms: -12 + 6 + 4x = 2x + -6 Combine like terms: -12 + 6 = -6 -6 + 4x = 2x + -6 Reorder the terms: -6 + 4x = -6 + 2x Add '6' to each side of the equation. -6 + 6 + 4x = -6 + 6 + 2x Combine like terms: -6 + 6 = 0 0 + 4x = -6 + 6 + 2x 4x = -6 + 6 + 2x Combine like terms: -6 + 6 = 0 4x = 0 + 2x 4x = 2x Solving 4x = 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. 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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