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Simplifying 74 + -1(3x + 5) = 3(x + 9) + x Reorder the terms: 74 + -1(5 + 3x) = 3(x + 9) + x 74 + (5 * -1 + 3x * -1) = 3(x + 9) + x 74 + (-5 + -3x) = 3(x + 9) + x Combine like terms: 74 + -5 = 69 69 + -3x = 3(x + 9) + x Reorder the terms: 69 + -3x = 3(9 + x) + x 69 + -3x = (9 * 3 + x * 3) + x 69 + -3x = (27 + 3x) + x Combine like terms: 3x + x = 4x 69 + -3x = 27 + 4x Solving 69 + -3x = 27 + 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. 69 + -3x + -4x = 27 + 4x + -4x Combine like terms: -3x + -4x = -7x 69 + -7x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 69 + -7x = 27 + 0 69 + -7x = 27 Add '-69' to each side of the equation. 69 + -69 + -7x = 27 + -69 Combine like terms: 69 + -69 = 0 0 + -7x = 27 + -69 -7x = 27 + -69 Combine like terms: 27 + -69 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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