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Simplifying -3x + 3(7 + 2x) = 9 + 2(6x + -3) + -1x -3x + (7 * 3 + 2x * 3) = 9 + 2(6x + -3) + -1x -3x + (21 + 6x) = 9 + 2(6x + -3) + -1x Reorder the terms: 21 + -3x + 6x = 9 + 2(6x + -3) + -1x Combine like terms: -3x + 6x = 3x 21 + 3x = 9 + 2(6x + -3) + -1x Reorder the terms: 21 + 3x = 9 + 2(-3 + 6x) + -1x 21 + 3x = 9 + (-3 * 2 + 6x * 2) + -1x 21 + 3x = 9 + (-6 + 12x) + -1x Combine like terms: 9 + -6 = 3 21 + 3x = 3 + 12x + -1x Combine like terms: 12x + -1x = 11x 21 + 3x = 3 + 11x Solving 21 + 3x = 3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 21 + 3x + -11x = 3 + 11x + -11x Combine like terms: 3x + -11x = -8x 21 + -8x = 3 + 11x + -11x Combine like terms: 11x + -11x = 0 21 + -8x = 3 + 0 21 + -8x = 3 Add '-21' to each side of the equation. 21 + -21 + -8x = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -8x = 3 + -21 -8x = 3 + -21 Combine like terms: 3 + -21 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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