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Simplifying 4x + 12 = 3x + 7 Reorder the terms: 12 + 4x = 3x + 7 Reorder the terms: 12 + 4x = 7 + 3x Solving 12 + 4x = 7 + 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. 12 + 4x + -3x = 7 + 3x + -3x Combine like terms: 4x + -3x = 1x 12 + 1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 1x = 7 + 0 12 + 1x = 7 Add '-12' to each side of the equation. 12 + -12 + 1x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 7 + -12 1x = 7 + -12 Combine like terms: 7 + -12 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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