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Simplifying 2(x + -6) + -4 = 4(x + 2) Reorder the terms: 2(-6 + x) + -4 = 4(x + 2) (-6 * 2 + x * 2) + -4 = 4(x + 2) (-12 + 2x) + -4 = 4(x + 2) Reorder the terms: -12 + -4 + 2x = 4(x + 2) Combine like terms: -12 + -4 = -16 -16 + 2x = 4(x + 2) Reorder the terms: -16 + 2x = 4(2 + x) -16 + 2x = (2 * 4 + x * 4) -16 + 2x = (8 + 4x) Solving -16 + 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. -16 + 2x + -4x = 8 + 4x + -4x Combine like terms: 2x + -4x = -2x -16 + -2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -2x = 8 + 0 -16 + -2x = 8 Add '16' to each side of the equation. -16 + 16 + -2x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = 8 + 16 -2x = 8 + 16 Combine like terms: 8 + 16 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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