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Simplifying 68 + -1(3x + 16) = 3(x + 8) Reorder the terms: 68 + -1(16 + 3x) = 3(x + 8) 68 + (16 * -1 + 3x * -1) = 3(x + 8) 68 + (-16 + -3x) = 3(x + 8) Combine like terms: 68 + -16 = 52 52 + -3x = 3(x + 8) Reorder the terms: 52 + -3x = 3(8 + x) 52 + -3x = (8 * 3 + x * 3) 52 + -3x = (24 + 3x) Solving 52 + -3x = 24 + 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. 52 + -3x + -3x = 24 + 3x + -3x Combine like terms: -3x + -3x = -6x 52 + -6x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 52 + -6x = 24 + 0 52 + -6x = 24 Add '-52' to each side of the equation. 52 + -52 + -6x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + -6x = 24 + -52 -6x = 24 + -52 Combine like terms: 24 + -52 = -28 -6x = -28 Divide each side by '-6'. x = 4.666666667 Simplifying x = 4.666666667
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