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Simplifying 2(2x + -4) = 6(x + 2) Reorder the terms: 2(-4 + 2x) = 6(x + 2) (-4 * 2 + 2x * 2) = 6(x + 2) (-8 + 4x) = 6(x + 2) Reorder the terms: -8 + 4x = 6(2 + x) -8 + 4x = (2 * 6 + x * 6) -8 + 4x = (12 + 6x) Solving -8 + 4x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 4x + -6x = 12 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = 12 + 0 -8 + -2x = 12 Add '8' to each side of the equation. -8 + 8 + -2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = 12 + 8 -2x = 12 + 8 Combine like terms: 12 + 8 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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