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Simplifying 7(x + 3) = 9(2x + -1) + -3 Reorder the terms: 7(3 + x) = 9(2x + -1) + -3 (3 * 7 + x * 7) = 9(2x + -1) + -3 (21 + 7x) = 9(2x + -1) + -3 Reorder the terms: 21 + 7x = 9(-1 + 2x) + -3 21 + 7x = (-1 * 9 + 2x * 9) + -3 21 + 7x = (-9 + 18x) + -3 Reorder the terms: 21 + 7x = -9 + -3 + 18x Combine like terms: -9 + -3 = -12 21 + 7x = -12 + 18x Solving 21 + 7x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 21 + 7x + -18x = -12 + 18x + -18x Combine like terms: 7x + -18x = -11x 21 + -11x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 21 + -11x = -12 + 0 21 + -11x = -12 Add '-21' to each side of the equation. 21 + -21 + -11x = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -11x = -12 + -21 -11x = -12 + -21 Combine like terms: -12 + -21 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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