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Simplifying 2x + 19 = 3x + 12 Reorder the terms: 19 + 2x = 3x + 12 Reorder the terms: 19 + 2x = 12 + 3x Solving 19 + 2x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + 2x + -3x = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x 19 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 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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