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Simplifying 14 + 2(3x + -1) = 3(x + -8) + 66 Reorder the terms: 14 + 2(-1 + 3x) = 3(x + -8) + 66 14 + (-1 * 2 + 3x * 2) = 3(x + -8) + 66 14 + (-2 + 6x) = 3(x + -8) + 66 Combine like terms: 14 + -2 = 12 12 + 6x = 3(x + -8) + 66 Reorder the terms: 12 + 6x = 3(-8 + x) + 66 12 + 6x = (-8 * 3 + x * 3) + 66 12 + 6x = (-24 + 3x) + 66 Reorder the terms: 12 + 6x = -24 + 66 + 3x Combine like terms: -24 + 66 = 42 12 + 6x = 42 + 3x Solving 12 + 6x = 42 + 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. 12 + 6x + -3x = 42 + 3x + -3x Combine like terms: 6x + -3x = 3x 12 + 3x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 3x = 42 + 0 12 + 3x = 42 Add '-12' to each side of the equation. 12 + -12 + 3x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 42 + -12 3x = 42 + -12 Combine like terms: 42 + -12 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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