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Simplifying 111 + -8(x + 3) = 97 + -5(x + 20) Reorder the terms: 111 + -8(3 + x) = 97 + -5(x + 20) 111 + (3 * -8 + x * -8) = 97 + -5(x + 20) 111 + (-24 + -8x) = 97 + -5(x + 20) Combine like terms: 111 + -24 = 87 87 + -8x = 97 + -5(x + 20) Reorder the terms: 87 + -8x = 97 + -5(20 + x) 87 + -8x = 97 + (20 * -5 + x * -5) 87 + -8x = 97 + (-100 + -5x) Combine like terms: 97 + -100 = -3 87 + -8x = -3 + -5x Solving 87 + -8x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 87 + -8x + 5x = -3 + -5x + 5x Combine like terms: -8x + 5x = -3x 87 + -3x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 87 + -3x = -3 + 0 87 + -3x = -3 Add '-87' to each side of the equation. 87 + -87 + -3x = -3 + -87 Combine like terms: 87 + -87 = 0 0 + -3x = -3 + -87 -3x = -3 + -87 Combine like terms: -3 + -87 = -90 -3x = -90 Divide each side by '-3'. x = 30 Simplifying x = 30
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