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