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Simplifying 2 + 9(3x + 7) = 3(11x + -1) + -4x Reorder the terms: 2 + 9(7 + 3x) = 3(11x + -1) + -4x 2 + (7 * 9 + 3x * 9) = 3(11x + -1) + -4x 2 + (63 + 27x) = 3(11x + -1) + -4x Combine like terms: 2 + 63 = 65 65 + 27x = 3(11x + -1) + -4x Reorder the terms: 65 + 27x = 3(-1 + 11x) + -4x 65 + 27x = (-1 * 3 + 11x * 3) + -4x 65 + 27x = (-3 + 33x) + -4x Combine like terms: 33x + -4x = 29x 65 + 27x = -3 + 29x Solving 65 + 27x = -3 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 65 + 27x + -29x = -3 + 29x + -29x Combine like terms: 27x + -29x = -2x 65 + -2x = -3 + 29x + -29x Combine like terms: 29x + -29x = 0 65 + -2x = -3 + 0 65 + -2x = -3 Add '-65' to each side of the equation. 65 + -65 + -2x = -3 + -65 Combine like terms: 65 + -65 = 0 0 + -2x = -3 + -65 -2x = -3 + -65 Combine like terms: -3 + -65 = -68 -2x = -68 Divide each side by '-2'. x = 34 Simplifying x = 34
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