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Simplifying 4x + 7x + 19 = 9 + -5x Reorder the terms: 19 + 4x + 7x = 9 + -5x Combine like terms: 4x + 7x = 11x 19 + 11x = 9 + -5x Solving 19 + 11x = 9 + -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. 19 + 11x + 5x = 9 + -5x + 5x Combine like terms: 11x + 5x = 16x 19 + 16x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + 16x = 9 + 0 19 + 16x = 9 Add '-19' to each side of the equation. 19 + -19 + 16x = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 16x = 9 + -19 16x = 9 + -19 Combine like terms: 9 + -19 = -10 16x = -10 Divide each side by '16'. x = -0.625 Simplifying x = -0.625
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