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Simplifying 6x + -6(4x + 7) = 12 Reorder the terms: 6x + -6(7 + 4x) = 12 6x + (7 * -6 + 4x * -6) = 12 6x + (-42 + -24x) = 12 Reorder the terms: -42 + 6x + -24x = 12 Combine like terms: 6x + -24x = -18x -42 + -18x = 12 Solving -42 + -18x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -18x = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -18x = 12 + 42 -18x = 12 + 42 Combine like terms: 12 + 42 = 54 -18x = 54 Divide each side by '-18'. x = -3 Simplifying x = -3
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