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Simplifying 2(x + -6) = 4(x + 4) + -18 Reorder the terms: 2(-6 + x) = 4(x + 4) + -18 (-6 * 2 + x * 2) = 4(x + 4) + -18 (-12 + 2x) = 4(x + 4) + -18 Reorder the terms: -12 + 2x = 4(4 + x) + -18 -12 + 2x = (4 * 4 + x * 4) + -18 -12 + 2x = (16 + 4x) + -18 Reorder the terms: -12 + 2x = 16 + -18 + 4x Combine like terms: 16 + -18 = -2 -12 + 2x = -2 + 4x Solving -12 + 2x = -2 + 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 = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x -12 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -2x = -2 + 0 -12 + -2x = -2 Add '12' to each side of the equation. -12 + 12 + -2x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -2 + 12 -2x = -2 + 12 Combine like terms: -2 + 12 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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