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Simplifying 6(x + 1) + 8 = 3x + 3(4 + 1) Reorder the terms: 6(1 + x) + 8 = 3x + 3(4 + 1) (1 * 6 + x * 6) + 8 = 3x + 3(4 + 1) (6 + 6x) + 8 = 3x + 3(4 + 1) Reorder the terms: 6 + 8 + 6x = 3x + 3(4 + 1) Combine like terms: 6 + 8 = 14 14 + 6x = 3x + 3(4 + 1) Combine like terms: 4 + 1 = 5 14 + 6x = 3x + 3(5) Multiply 3 * 5 14 + 6x = 3x + 15 Reorder the terms: 14 + 6x = 15 + 3x Solving 14 + 6x = 15 + 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. 14 + 6x + -3x = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x 14 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 3x = 15 + 0 14 + 3x = 15 Add '-14' to each side of the equation. 14 + -14 + 3x = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 15 + -14 3x = 15 + -14 Combine like terms: 15 + -14 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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