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Simplifying 12(x + -4) = 6x + 6 Reorder the terms: 12(-4 + x) = 6x + 6 (-4 * 12 + x * 12) = 6x + 6 (-48 + 12x) = 6x + 6 Reorder the terms: -48 + 12x = 6 + 6x Solving -48 + 12x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -48 + 12x + -6x = 6 + 6x + -6x Combine like terms: 12x + -6x = 6x -48 + 6x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 6x = 6 + 0 -48 + 6x = 6 Add '48' to each side of the equation. -48 + 48 + 6x = 6 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = 6 + 48 6x = 6 + 48 Combine like terms: 6 + 48 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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