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