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Simplifying 2(5 + -3x) + 4 = 3(9x + 7) (5 * 2 + -3x * 2) + 4 = 3(9x + 7) (10 + -6x) + 4 = 3(9x + 7) Reorder the terms: 10 + 4 + -6x = 3(9x + 7) Combine like terms: 10 + 4 = 14 14 + -6x = 3(9x + 7) Reorder the terms: 14 + -6x = 3(7 + 9x) 14 + -6x = (7 * 3 + 9x * 3) 14 + -6x = (21 + 27x) Solving 14 + -6x = 21 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 14 + -6x + -27x = 21 + 27x + -27x Combine like terms: -6x + -27x = -33x 14 + -33x = 21 + 27x + -27x Combine like terms: 27x + -27x = 0 14 + -33x = 21 + 0 14 + -33x = 21 Add '-14' to each side of the equation. 14 + -14 + -33x = 21 + -14 Combine like terms: 14 + -14 = 0 0 + -33x = 21 + -14 -33x = 21 + -14 Combine like terms: 21 + -14 = 7 -33x = 7 Divide each side by '-33'. x = -0.2121212121 Simplifying x = -0.2121212121
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