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Simplifying 4x + 1 = -5x + 19 Reorder the terms: 1 + 4x = -5x + 19 Reorder the terms: 1 + 4x = 19 + -5x Solving 1 + 4x = 19 + -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. 1 + 4x + 5x = 19 + -5x + 5x Combine like terms: 4x + 5x = 9x 1 + 9x = 19 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 9x = 19 + 0 1 + 9x = 19 Add '-1' to each side of the equation. 1 + -1 + 9x = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 19 + -1 9x = 19 + -1 Combine like terms: 19 + -1 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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