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Simplifying 8x + -5(x + 2) = -3(x + -5) Reorder the terms: 8x + -5(2 + x) = -3(x + -5) 8x + (2 * -5 + x * -5) = -3(x + -5) 8x + (-10 + -5x) = -3(x + -5) Reorder the terms: -10 + 8x + -5x = -3(x + -5) Combine like terms: 8x + -5x = 3x -10 + 3x = -3(x + -5) Reorder the terms: -10 + 3x = -3(-5 + x) -10 + 3x = (-5 * -3 + x * -3) -10 + 3x = (15 + -3x) Solving -10 + 3x = 15 + -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. -10 + 3x + 3x = 15 + -3x + 3x Combine like terms: 3x + 3x = 6x -10 + 6x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 6x = 15 + 0 -10 + 6x = 15 Add '10' to each side of the equation. -10 + 10 + 6x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 15 + 10 6x = 15 + 10 Combine like terms: 15 + 10 = 25 6x = 25 Divide each side by '6'. x = 4.166666667 Simplifying x = 4.166666667
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