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Simplifying 3(2x + -4) + 4 = 2 + -1(6 + -4x) Reorder the terms: 3(-4 + 2x) + 4 = 2 + -1(6 + -4x) (-4 * 3 + 2x * 3) + 4 = 2 + -1(6 + -4x) (-12 + 6x) + 4 = 2 + -1(6 + -4x) Reorder the terms: -12 + 4 + 6x = 2 + -1(6 + -4x) Combine like terms: -12 + 4 = -8 -8 + 6x = 2 + -1(6 + -4x) -8 + 6x = 2 + (6 * -1 + -4x * -1) -8 + 6x = 2 + (-6 + 4x) Combine like terms: 2 + -6 = -4 -8 + 6x = -4 + 4x Solving -8 + 6x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x -8 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 2x = -4 + 0 -8 + 2x = -4 Add '8' to each side of the equation. -8 + 8 + 2x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -4 + 8 2x = -4 + 8 Combine like terms: -4 + 8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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