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Simplifying 4(x + 1) + 5 = 3x + 12 Reorder the terms: 4(1 + x) + 5 = 3x + 12 (1 * 4 + x * 4) + 5 = 3x + 12 (4 + 4x) + 5 = 3x + 12 Reorder the terms: 4 + 5 + 4x = 3x + 12 Combine like terms: 4 + 5 = 9 9 + 4x = 3x + 12 Reorder the terms: 9 + 4x = 12 + 3x Solving 9 + 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. 9 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x 9 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 1x = 12 + 0 9 + 1x = 12 Add '-9' to each side of the equation. 9 + -9 + 1x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 12 + -9 1x = 12 + -9 Combine like terms: 12 + -9 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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