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Simplifying 75 + -1(3x + 9) = 3(x + 8) + x Reorder the terms: 75 + -1(9 + 3x) = 3(x + 8) + x 75 + (9 * -1 + 3x * -1) = 3(x + 8) + x 75 + (-9 + -3x) = 3(x + 8) + x Combine like terms: 75 + -9 = 66 66 + -3x = 3(x + 8) + x Reorder the terms: 66 + -3x = 3(8 + x) + x 66 + -3x = (8 * 3 + x * 3) + x 66 + -3x = (24 + 3x) + x Combine like terms: 3x + x = 4x 66 + -3x = 24 + 4x Solving 66 + -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. 66 + -3x + -4x = 24 + 4x + -4x Combine like terms: -3x + -4x = -7x 66 + -7x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 66 + -7x = 24 + 0 66 + -7x = 24 Add '-66' to each side of the equation. 66 + -66 + -7x = 24 + -66 Combine like terms: 66 + -66 = 0 0 + -7x = 24 + -66 -7x = 24 + -66 Combine like terms: 24 + -66 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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