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Simplifying 4(x + -4) = 2x + 12 Reorder the terms: 4(-4 + x) = 2x + 12 (-4 * 4 + x * 4) = 2x + 12 (-16 + 4x) = 2x + 12 Reorder the terms: -16 + 4x = 12 + 2x Solving -16 + 4x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + 4x + -2x = 12 + 2x + -2x Combine like terms: 4x + -2x = 2x -16 + 2x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 2x = 12 + 0 -16 + 2x = 12 Add '16' to each side of the equation. -16 + 16 + 2x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 12 + 16 2x = 12 + 16 Combine like terms: 12 + 16 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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