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Simplifying 3(2x + -4) + -2x = 2(4x + 5) Reorder the terms: 3(-4 + 2x) + -2x = 2(4x + 5) (-4 * 3 + 2x * 3) + -2x = 2(4x + 5) (-12 + 6x) + -2x = 2(4x + 5) Combine like terms: 6x + -2x = 4x -12 + 4x = 2(4x + 5) Reorder the terms: -12 + 4x = 2(5 + 4x) -12 + 4x = (5 * 2 + 4x * 2) -12 + 4x = (10 + 8x) Solving -12 + 4x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 4x + -8x = 10 + 8x + -8x Combine like terms: 4x + -8x = -4x -12 + -4x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -4x = 10 + 0 -12 + -4x = 10 Add '12' to each side of the equation. -12 + 12 + -4x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 10 + 12 -4x = 10 + 12 Combine like terms: 10 + 12 = 22 -4x = 22 Divide each side by '-4'. x = -5.5 Simplifying x = -5.5
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