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Simplifying -7(x + 6) = 2x + 12 Reorder the terms: -7(6 + x) = 2x + 12 (6 * -7 + x * -7) = 2x + 12 (-42 + -7x) = 2x + 12 Reorder the terms: -42 + -7x = 12 + 2x Solving -42 + -7x = 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. -42 + -7x + -2x = 12 + 2x + -2x Combine like terms: -7x + -2x = -9x -42 + -9x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + -9x = 12 + 0 -42 + -9x = 12 Add '42' to each side of the equation. -42 + 42 + -9x = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -9x = 12 + 42 -9x = 12 + 42 Combine like terms: 12 + 42 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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