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Simplifying 5x + 19 = 100 + -4x Reorder the terms: 19 + 5x = 100 + -4x Solving 19 + 5x = 100 + -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. 19 + 5x + 4x = 100 + -4x + 4x Combine like terms: 5x + 4x = 9x 19 + 9x = 100 + -4x + 4x Combine like terms: -4x + 4x = 0 19 + 9x = 100 + 0 19 + 9x = 100 Add '-19' to each side of the equation. 19 + -19 + 9x = 100 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = 100 + -19 9x = 100 + -19 Combine like terms: 100 + -19 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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