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Simplifying 6(x + -6) + 6 = 3x + -12 Reorder the terms: 6(-6 + x) + 6 = 3x + -12 (-6 * 6 + x * 6) + 6 = 3x + -12 (-36 + 6x) + 6 = 3x + -12 Reorder the terms: -36 + 6 + 6x = 3x + -12 Combine like terms: -36 + 6 = -30 -30 + 6x = 3x + -12 Reorder the terms: -30 + 6x = -12 + 3x Solving -30 + 6x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x -30 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 3x = -12 + 0 -30 + 3x = -12 Add '30' to each side of the equation. -30 + 30 + 3x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -12 + 30 3x = -12 + 30 Combine like terms: -12 + 30 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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