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Simplifying 6(5x + 9) = 19 + -4x Reorder the terms: 6(9 + 5x) = 19 + -4x (9 * 6 + 5x * 6) = 19 + -4x (54 + 30x) = 19 + -4x Solving 54 + 30x = 19 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 54 + 30x + 4x = 19 + -4x + 4x Combine like terms: 30x + 4x = 34x 54 + 34x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 54 + 34x = 19 + 0 54 + 34x = 19 Add '-54' to each side of the equation. 54 + -54 + 34x = 19 + -54 Combine like terms: 54 + -54 = 0 0 + 34x = 19 + -54 34x = 19 + -54 Combine like terms: 19 + -54 = -35 34x = -35 Divide each side by '34'. x = -1.029411765 Simplifying x = -1.029411765
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