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Simplifying 51 + -1(3x + 5) = 3(x + 6) + x Reorder the terms: 51 + -1(5 + 3x) = 3(x + 6) + x 51 + (5 * -1 + 3x * -1) = 3(x + 6) + x 51 + (-5 + -3x) = 3(x + 6) + x Combine like terms: 51 + -5 = 46 46 + -3x = 3(x + 6) + x Reorder the terms: 46 + -3x = 3(6 + x) + x 46 + -3x = (6 * 3 + x * 3) + x 46 + -3x = (18 + 3x) + x Combine like terms: 3x + x = 4x 46 + -3x = 18 + 4x Solving 46 + -3x = 18 + 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. 46 + -3x + -4x = 18 + 4x + -4x Combine like terms: -3x + -4x = -7x 46 + -7x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 46 + -7x = 18 + 0 46 + -7x = 18 Add '-46' to each side of the equation. 46 + -46 + -7x = 18 + -46 Combine like terms: 46 + -46 = 0 0 + -7x = 18 + -46 -7x = 18 + -46 Combine like terms: 18 + -46 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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