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