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Simplifying 6(3x + 2) = 5x + -1 Reorder the terms: 6(2 + 3x) = 5x + -1 (2 * 6 + 3x * 6) = 5x + -1 (12 + 18x) = 5x + -1 Reorder the terms: 12 + 18x = -1 + 5x Solving 12 + 18x = -1 + 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. 12 + 18x + -5x = -1 + 5x + -5x Combine like terms: 18x + -5x = 13x 12 + 13x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 13x = -1 + 0 12 + 13x = -1 Add '-12' to each side of the equation. 12 + -12 + 13x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = -1 + -12 13x = -1 + -12 Combine like terms: -1 + -12 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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