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Simplifying 6 + 8(5x + 5) = -3x + -40 Reorder the terms: 6 + 8(5 + 5x) = -3x + -40 6 + (5 * 8 + 5x * 8) = -3x + -40 6 + (40 + 40x) = -3x + -40 Combine like terms: 6 + 40 = 46 46 + 40x = -3x + -40 Reorder the terms: 46 + 40x = -40 + -3x Solving 46 + 40x = -40 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 46 + 40x + 3x = -40 + -3x + 3x Combine like terms: 40x + 3x = 43x 46 + 43x = -40 + -3x + 3x Combine like terms: -3x + 3x = 0 46 + 43x = -40 + 0 46 + 43x = -40 Add '-46' to each side of the equation. 46 + -46 + 43x = -40 + -46 Combine like terms: 46 + -46 = 0 0 + 43x = -40 + -46 43x = -40 + -46 Combine like terms: -40 + -46 = -86 43x = -86 Divide each side by '43'. x = -2 Simplifying x = -2
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