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Simplifying 2(x + -4) + 2x = -6(x + -2) Reorder the terms: 2(-4 + x) + 2x = -6(x + -2) (-4 * 2 + x * 2) + 2x = -6(x + -2) (-8 + 2x) + 2x = -6(x + -2) Combine like terms: 2x + 2x = 4x -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 = 10x -8 + 10x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 10x = 12 + 0 -8 + 10x = 12 Add '8' to each side of the equation. -8 + 8 + 10x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = 12 + 8 10x = 12 + 8 Combine like terms: 12 + 8 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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