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Simplifying 5(8x + -2) + -5(3x + 5) = 36 Reorder the terms: 5(-2 + 8x) + -5(3x + 5) = 36 (-2 * 5 + 8x * 5) + -5(3x + 5) = 36 (-10 + 40x) + -5(3x + 5) = 36 Reorder the terms: -10 + 40x + -5(5 + 3x) = 36 -10 + 40x + (5 * -5 + 3x * -5) = 36 -10 + 40x + (-25 + -15x) = 36 Reorder the terms: -10 + -25 + 40x + -15x = 36 Combine like terms: -10 + -25 = -35 -35 + 40x + -15x = 36 Combine like terms: 40x + -15x = 25x -35 + 25x = 36 Solving -35 + 25x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 25x = 36 + 35 Combine like terms: -35 + 35 = 0 0 + 25x = 36 + 35 25x = 36 + 35 Combine like terms: 36 + 35 = 71 25x = 71 Divide each side by '25'. x = 2.84 Simplifying x = 2.84
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