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Simplifying 3(2x + -4) = 2x + -1(4x + -2) Reorder the terms: 3(-4 + 2x) = 2x + -1(4x + -2) (-4 * 3 + 2x * 3) = 2x + -1(4x + -2) (-12 + 6x) = 2x + -1(4x + -2) Reorder the terms: -12 + 6x = 2x + -1(-2 + 4x) -12 + 6x = 2x + (-2 * -1 + 4x * -1) -12 + 6x = 2x + (2 + -4x) Reorder the terms: -12 + 6x = 2 + 2x + -4x Combine like terms: 2x + -4x = -2x -12 + 6x = 2 + -2x Solving -12 + 6x = 2 + -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. -12 + 6x + 2x = 2 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = 2 + 0 -12 + 8x = 2 Add '12' to each side of the equation. -12 + 12 + 8x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 2 + 12 8x = 2 + 12 Combine like terms: 2 + 12 = 14 8x = 14 Divide each side by '8'. x = 1.75 Simplifying x = 1.75
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