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Simplifying 4(x + -6) = x + 12 Reorder the terms: 4(-6 + x) = x + 12 (-6 * 4 + x * 4) = x + 12 (-24 + 4x) = x + 12 Reorder the terms: -24 + 4x = 12 + x Solving -24 + 4x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -24 + 4x + -1x = 12 + x + -1x Combine like terms: 4x + -1x = 3x -24 + 3x = 12 + x + -1x Combine like terms: x + -1x = 0 -24 + 3x = 12 + 0 -24 + 3x = 12 Add '24' to each side of the equation. -24 + 24 + 3x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = 12 + 24 3x = 12 + 24 Combine like terms: 12 + 24 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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