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Simplifying 68 + -1(3x + 16) = 3(x + 8) + x Reorder the terms: 68 + -1(16 + 3x) = 3(x + 8) + x 68 + (16 * -1 + 3x * -1) = 3(x + 8) + x 68 + (-16 + -3x) = 3(x + 8) + x Combine like terms: 68 + -16 = 52 52 + -3x = 3(x + 8) + x Reorder the terms: 52 + -3x = 3(8 + x) + x 52 + -3x = (8 * 3 + x * 3) + x 52 + -3x = (24 + 3x) + x Combine like terms: 3x + x = 4x 52 + -3x = 24 + 4x Solving 52 + -3x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 52 + -3x + -4x = 24 + 4x + -4x Combine like terms: -3x + -4x = -7x 52 + -7x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 52 + -7x = 24 + 0 52 + -7x = 24 Add '-52' to each side of the equation. 52 + -52 + -7x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + -7x = 24 + -52 -7x = 24 + -52 Combine like terms: 24 + -52 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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