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Simplifying 8x + 5(-8 + -2) = -4x + 5(1 + -5x) Combine like terms: -8 + -2 = -10 8x + 5(-10) = -4x + 5(1 + -5x) Multiply 5 * -10 8x + -50 = -4x + 5(1 + -5x) Reorder the terms: -50 + 8x = -4x + 5(1 + -5x) -50 + 8x = -4x + (1 * 5 + -5x * 5) -50 + 8x = -4x + (5 + -25x) Reorder the terms: -50 + 8x = 5 + -4x + -25x Combine like terms: -4x + -25x = -29x -50 + 8x = 5 + -29x Solving -50 + 8x = 5 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -50 + 8x + 29x = 5 + -29x + 29x Combine like terms: 8x + 29x = 37x -50 + 37x = 5 + -29x + 29x Combine like terms: -29x + 29x = 0 -50 + 37x = 5 + 0 -50 + 37x = 5 Add '50' to each side of the equation. -50 + 50 + 37x = 5 + 50 Combine like terms: -50 + 50 = 0 0 + 37x = 5 + 50 37x = 5 + 50 Combine like terms: 5 + 50 = 55 37x = 55 Divide each side by '37'. x = 1.486486486 Simplifying x = 1.486486486
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