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Simplifying 13x + -19 = 6(3x + 1) Reorder the terms: -19 + 13x = 6(3x + 1) Reorder the terms: -19 + 13x = 6(1 + 3x) -19 + 13x = (1 * 6 + 3x * 6) -19 + 13x = (6 + 18x) Solving -19 + 13x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -19 + 13x + -18x = 6 + 18x + -18x Combine like terms: 13x + -18x = -5x -19 + -5x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 -19 + -5x = 6 + 0 -19 + -5x = 6 Add '19' to each side of the equation. -19 + 19 + -5x = 6 + 19 Combine like terms: -19 + 19 = 0 0 + -5x = 6 + 19 -5x = 6 + 19 Combine like terms: 6 + 19 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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