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Simplifying 3(2x + 6) = 5x + 20 + 3x Reorder the terms: 3(6 + 2x) = 5x + 20 + 3x (6 * 3 + 2x * 3) = 5x + 20 + 3x (18 + 6x) = 5x + 20 + 3x Reorder the terms: 18 + 6x = 20 + 5x + 3x Combine like terms: 5x + 3x = 8x 18 + 6x = 20 + 8x Solving 18 + 6x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + 6x + -8x = 20 + 8x + -8x Combine like terms: 6x + -8x = -2x 18 + -2x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -2x = 20 + 0 18 + -2x = 20 Add '-18' to each side of the equation. 18 + -18 + -2x = 20 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = 20 + -18 -2x = 20 + -18 Combine like terms: 20 + -18 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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