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Simplifying 6(3x + 1) + (2x + 2) = 5x Reorder the terms: 6(1 + 3x) + (2x + 2) = 5x (1 * 6 + 3x * 6) + (2x + 2) = 5x (6 + 18x) + (2x + 2) = 5x Reorder the terms: 6 + 18x + (2 + 2x) = 5x Remove parenthesis around (2 + 2x) 6 + 18x + 2 + 2x = 5x Reorder the terms: 6 + 2 + 18x + 2x = 5x Combine like terms: 6 + 2 = 8 8 + 18x + 2x = 5x Combine like terms: 18x + 2x = 20x 8 + 20x = 5x Solving 8 + 20x = 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. 8 + 20x + -5x = 5x + -5x Combine like terms: 20x + -5x = 15x 8 + 15x = 5x + -5x Combine like terms: 5x + -5x = 0 8 + 15x = 0 Add '-8' to each side of the equation. 8 + -8 + 15x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = 0 + -8 15x = 0 + -8 Combine like terms: 0 + -8 = -8 15x = -8 Divide each side by '15'. x = -0.5333333333 Simplifying x = -0.5333333333
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