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Simplifying 3x + 10 = 4x + 12 Reorder the terms: 10 + 3x = 4x + 12 Reorder the terms: 10 + 3x = 12 + 4x Solving 10 + 3x = 12 + 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. 10 + 3x + -4x = 12 + 4x + -4x Combine like terms: 3x + -4x = -1x 10 + -1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -1x = 12 + 0 10 + -1x = 12 Add '-10' to each side of the equation. 10 + -10 + -1x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 12 + -10 -1x = 12 + -10 Combine like terms: 12 + -10 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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