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Simplifying 3x + 19 + -1x = 9 + 5x + -5 Reorder the terms: 19 + 3x + -1x = 9 + 5x + -5 Combine like terms: 3x + -1x = 2x 19 + 2x = 9 + 5x + -5 Reorder the terms: 19 + 2x = 9 + -5 + 5x Combine like terms: 9 + -5 = 4 19 + 2x = 4 + 5x Solving 19 + 2x = 4 + 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 + 2x + -5x = 4 + 5x + -5x Combine like terms: 2x + -5x = -3x 19 + -3x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -3x = 4 + 0 19 + -3x = 4 Add '-19' to each side of the equation. 19 + -19 + -3x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -3x = 4 + -19 -3x = 4 + -19 Combine like terms: 4 + -19 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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