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Simplifying 66 + -1(3x + 7) = 3(x + 8) + x Reorder the terms: 66 + -1(7 + 3x) = 3(x + 8) + x 66 + (7 * -1 + 3x * -1) = 3(x + 8) + x 66 + (-7 + -3x) = 3(x + 8) + x Combine like terms: 66 + -7 = 59 59 + -3x = 3(x + 8) + x Reorder the terms: 59 + -3x = 3(8 + x) + x 59 + -3x = (8 * 3 + x * 3) + x 59 + -3x = (24 + 3x) + x Combine like terms: 3x + x = 4x 59 + -3x = 24 + 4x Solving 59 + -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. 59 + -3x + -4x = 24 + 4x + -4x Combine like terms: -3x + -4x = -7x 59 + -7x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 59 + -7x = 24 + 0 59 + -7x = 24 Add '-59' to each side of the equation. 59 + -59 + -7x = 24 + -59 Combine like terms: 59 + -59 = 0 0 + -7x = 24 + -59 -7x = 24 + -59 Combine like terms: 24 + -59 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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