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