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Simplifying 4x + 19 = 5x + 12 Reorder the terms: 19 + 4x = 5x + 12 Reorder the terms: 19 + 4x = 12 + 5x Solving 19 + 4x = 12 + 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 + 4x + -5x = 12 + 5x + -5x Combine like terms: 4x + -5x = -1x 19 + -1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -1x = 12 + 0 19 + -1x = 12 Add '-19' to each side of the equation. 19 + -19 + -1x = 12 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 12 + -19 -1x = 12 + -19 Combine like terms: 12 + -19 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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