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Simplifying 2(x + 3) + 6x = 3(9 + -1x) Reorder the terms: 2(3 + x) + 6x = 3(9 + -1x) (3 * 2 + x * 2) + 6x = 3(9 + -1x) (6 + 2x) + 6x = 3(9 + -1x) Combine like terms: 2x + 6x = 8x 6 + 8x = 3(9 + -1x) 6 + 8x = (9 * 3 + -1x * 3) 6 + 8x = (27 + -3x) Solving 6 + 8x = 27 + -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. 6 + 8x + 3x = 27 + -3x + 3x Combine like terms: 8x + 3x = 11x 6 + 11x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 11x = 27 + 0 6 + 11x = 27 Add '-6' to each side of the equation. 6 + -6 + 11x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 27 + -6 11x = 27 + -6 Combine like terms: 27 + -6 = 21 11x = 21 Divide each side by '11'. x = 1.909090909 Simplifying x = 1.909090909
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