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Simplifying 65 + -1(3x + 8) = 3(x + 5) + x Reorder the terms: 65 + -1(8 + 3x) = 3(x + 5) + x 65 + (8 * -1 + 3x * -1) = 3(x + 5) + x 65 + (-8 + -3x) = 3(x + 5) + x Combine like terms: 65 + -8 = 57 57 + -3x = 3(x + 5) + x Reorder the terms: 57 + -3x = 3(5 + x) + x 57 + -3x = (5 * 3 + x * 3) + x 57 + -3x = (15 + 3x) + x Combine like terms: 3x + x = 4x 57 + -3x = 15 + 4x Solving 57 + -3x = 15 + 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. 57 + -3x + -4x = 15 + 4x + -4x Combine like terms: -3x + -4x = -7x 57 + -7x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 57 + -7x = 15 + 0 57 + -7x = 15 Add '-57' to each side of the equation. 57 + -57 + -7x = 15 + -57 Combine like terms: 57 + -57 = 0 0 + -7x = 15 + -57 -7x = 15 + -57 Combine like terms: 15 + -57 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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