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Simplifying 14x + 41 + -10x + 9 + -3x = 19 + -4x + 181 Reorder the terms: 41 + 9 + 14x + -10x + -3x = 19 + -4x + 181 Combine like terms: 41 + 9 = 50 50 + 14x + -10x + -3x = 19 + -4x + 181 Combine like terms: 14x + -10x = 4x 50 + 4x + -3x = 19 + -4x + 181 Combine like terms: 4x + -3x = 1x 50 + 1x = 19 + -4x + 181 Reorder the terms: 50 + 1x = 19 + 181 + -4x Combine like terms: 19 + 181 = 200 50 + 1x = 200 + -4x Solving 50 + 1x = 200 + -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. 50 + 1x + 4x = 200 + -4x + 4x Combine like terms: 1x + 4x = 5x 50 + 5x = 200 + -4x + 4x Combine like terms: -4x + 4x = 0 50 + 5x = 200 + 0 50 + 5x = 200 Add '-50' to each side of the equation. 50 + -50 + 5x = 200 + -50 Combine like terms: 50 + -50 = 0 0 + 5x = 200 + -50 5x = 200 + -50 Combine like terms: 200 + -50 = 150 5x = 150 Divide each side by '5'. x = 30 Simplifying x = 30
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