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Simplifying 5x + 19 = 2x + 13 Reorder the terms: 19 + 5x = 2x + 13 Reorder the terms: 19 + 5x = 13 + 2x Solving 19 + 5x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 19 + 5x + -2x = 13 + 2x + -2x Combine like terms: 5x + -2x = 3x 19 + 3x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 3x = 13 + 0 19 + 3x = 13 Add '-19' to each side of the equation. 19 + -19 + 3x = 13 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 13 + -19 3x = 13 + -19 Combine like terms: 13 + -19 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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