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Simplifying 22 + -18 + 3x + 4x + 19 = 100 Reorder the terms: 22 + -18 + 19 + 3x + 4x = 100 Combine like terms: 22 + -18 = 4 4 + 19 + 3x + 4x = 100 Combine like terms: 4 + 19 = 23 23 + 3x + 4x = 100 Combine like terms: 3x + 4x = 7x 23 + 7x = 100 Solving 23 + 7x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7x = 100 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 100 + -23 7x = 100 + -23 Combine like terms: 100 + -23 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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