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Simplifying 2(x + -2) = 4(x + 6) + -14 Reorder the terms: 2(-2 + x) = 4(x + 6) + -14 (-2 * 2 + x * 2) = 4(x + 6) + -14 (-4 + 2x) = 4(x + 6) + -14 Reorder the terms: -4 + 2x = 4(6 + x) + -14 -4 + 2x = (6 * 4 + x * 4) + -14 -4 + 2x = (24 + 4x) + -14 Reorder the terms: -4 + 2x = 24 + -14 + 4x Combine like terms: 24 + -14 = 10 -4 + 2x = 10 + 4x Solving -4 + 2x = 10 + 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. -4 + 2x + -4x = 10 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = 10 + 0 -4 + -2x = 10 Add '4' to each side of the equation. -4 + 4 + -2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 10 + 4 -2x = 10 + 4 Combine like terms: 10 + 4 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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