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Simplifying 7x + 40 = 3x + 12 Reorder the terms: 40 + 7x = 3x + 12 Reorder the terms: 40 + 7x = 12 + 3x Solving 40 + 7x = 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. 40 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x 40 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 4x = 12 + 0 40 + 4x = 12 Add '-40' to each side of the equation. 40 + -40 + 4x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 12 + -40 4x = 12 + -40 Combine like terms: 12 + -40 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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