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