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Simplifying 7(x + 5) = 3x + 12 Reorder the terms: 7(5 + x) = 3x + 12 (5 * 7 + x * 7) = 3x + 12 (35 + 7x) = 3x + 12 Reorder the terms: 35 + 7x = 12 + 3x Solving 35 + 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. 35 + 7x + -3x = 12 + 3x + -3x Combine like terms: 7x + -3x = 4x 35 + 4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 4x = 12 + 0 35 + 4x = 12 Add '-35' to each side of the equation. 35 + -35 + 4x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 12 + -35 4x = 12 + -35 Combine like terms: 12 + -35 = -23 4x = -23 Divide each side by '4'. x = -5.75 Simplifying x = -5.75

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