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Simplifying 5x + 7(x + 2) = 3(6x + -9) + 5 Reorder the terms: 5x + 7(2 + x) = 3(6x + -9) + 5 5x + (2 * 7 + x * 7) = 3(6x + -9) + 5 5x + (14 + 7x) = 3(6x + -9) + 5 Reorder the terms: 14 + 5x + 7x = 3(6x + -9) + 5 Combine like terms: 5x + 7x = 12x 14 + 12x = 3(6x + -9) + 5 Reorder the terms: 14 + 12x = 3(-9 + 6x) + 5 14 + 12x = (-9 * 3 + 6x * 3) + 5 14 + 12x = (-27 + 18x) + 5 Reorder the terms: 14 + 12x = -27 + 5 + 18x Combine like terms: -27 + 5 = -22 14 + 12x = -22 + 18x Solving 14 + 12x = -22 + 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. 14 + 12x + -18x = -22 + 18x + -18x Combine like terms: 12x + -18x = -6x 14 + -6x = -22 + 18x + -18x Combine like terms: 18x + -18x = 0 14 + -6x = -22 + 0 14 + -6x = -22 Add '-14' to each side of the equation. 14 + -14 + -6x = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -22 + -14 -6x = -22 + -14 Combine like terms: -22 + -14 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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