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Simplifying 3(2x + 6) + 2x = 5(x + -9) Reorder the terms: 3(6 + 2x) + 2x = 5(x + -9) (6 * 3 + 2x * 3) + 2x = 5(x + -9) (18 + 6x) + 2x = 5(x + -9) Combine like terms: 6x + 2x = 8x 18 + 8x = 5(x + -9) Reorder the terms: 18 + 8x = 5(-9 + x) 18 + 8x = (-9 * 5 + x * 5) 18 + 8x = (-45 + 5x) Solving 18 + 8x = -45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 18 + 8x + -5x = -45 + 5x + -5x Combine like terms: 8x + -5x = 3x 18 + 3x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 3x = -45 + 0 18 + 3x = -45 Add '-18' to each side of the equation. 18 + -18 + 3x = -45 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = -45 + -18 3x = -45 + -18 Combine like terms: -45 + -18 = -63 3x = -63 Divide each side by '3'. x = -21 Simplifying x = -21
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