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