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Simplifying 3(4 + 6) + -16 = 8 + -16 + 5(x + 1) Combine like terms: 4 + 6 = 10 3(10) + -16 = 8 + -16 + 5(x + 1) Multiply 3 * 10 30 + -16 = 8 + -16 + 5(x + 1) Combine like terms: 30 + -16 = 14 14 = 8 + -16 + 5(x + 1) Reorder the terms: 14 = 8 + -16 + 5(1 + x) 14 = 8 + -16 + (1 * 5 + x * 5) 14 = 8 + -16 + (5 + 5x) Combine like terms: 8 + -16 = -8 14 = -8 + 5 + 5x Combine like terms: -8 + 5 = -3 14 = -3 + 5x Solving 14 = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -5x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -5x = -3 + 0 14 + -5x = -3 Add '-14' to each side of the equation. 14 + -14 + -5x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -3 + -14 -5x = -3 + -14 Combine like terms: -3 + -14 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4
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