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Simplifying 5(x + 1) + 3 = x + 12 Reorder the terms: 5(1 + x) + 3 = x + 12 (1 * 5 + x * 5) + 3 = x + 12 (5 + 5x) + 3 = x + 12 Reorder the terms: 5 + 3 + 5x = x + 12 Combine like terms: 5 + 3 = 8 8 + 5x = x + 12 Reorder the terms: 8 + 5x = 12 + x Solving 8 + 5x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 5x + -1x = 12 + x + -1x Combine like terms: 5x + -1x = 4x 8 + 4x = 12 + x + -1x Combine like terms: x + -1x = 0 8 + 4x = 12 + 0 8 + 4x = 12 Add '-8' to each side of the equation. 8 + -8 + 4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 12 + -8 4x = 12 + -8 Combine like terms: 12 + -8 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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