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Simplifying -19 + 2x = 5(3 + 6x) + 6x -19 + 2x = (3 * 5 + 6x * 5) + 6x -19 + 2x = (15 + 30x) + 6x Combine like terms: 30x + 6x = 36x -19 + 2x = 15 + 36x Solving -19 + 2x = 15 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -19 + 2x + -36x = 15 + 36x + -36x Combine like terms: 2x + -36x = -34x -19 + -34x = 15 + 36x + -36x Combine like terms: 36x + -36x = 0 -19 + -34x = 15 + 0 -19 + -34x = 15 Add '19' to each side of the equation. -19 + 19 + -34x = 15 + 19 Combine like terms: -19 + 19 = 0 0 + -34x = 15 + 19 -34x = 15 + 19 Combine like terms: 15 + 19 = 34 -34x = 34 Divide each side by '-34'. x = -1 Simplifying x = -1
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