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Simplifying -7(3x + 6) + -2x = 3x + 12 Reorder the terms: -7(6 + 3x) + -2x = 3x + 12 (6 * -7 + 3x * -7) + -2x = 3x + 12 (-42 + -21x) + -2x = 3x + 12 Combine like terms: -21x + -2x = -23x -42 + -23x = 3x + 12 Reorder the terms: -42 + -23x = 12 + 3x Solving -42 + -23x = 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. -42 + -23x + -3x = 12 + 3x + -3x Combine like terms: -23x + -3x = -26x -42 + -26x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -42 + -26x = 12 + 0 -42 + -26x = 12 Add '42' to each side of the equation. -42 + 42 + -26x = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -26x = 12 + 42 -26x = 12 + 42 Combine like terms: 12 + 42 = 54 -26x = 54 Divide each side by '-26'. x = -2.076923077 Simplifying x = -2.076923077
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