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Simplifying 3x + 19 = 4x + 5 Reorder the terms: 19 + 3x = 4x + 5 Reorder the terms: 19 + 3x = 5 + 4x Solving 19 + 3x = 5 + 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 + 3x + -4x = 5 + 4x + -4x Combine like terms: 3x + -4x = -1x 19 + -1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -1x = 5 + 0 19 + -1x = 5 Add '-19' to each side of the equation. 19 + -19 + -1x = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 5 + -19 -1x = 5 + -19 Combine like terms: 5 + -19 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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