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Simplifying x + -7 + -8(x + -5) + 5(7x + 1) = 0 Reorder the terms: x + -7 + -8(-5 + x) + 5(7x + 1) = 0 x + -7 + (-5 * -8 + x * -8) + 5(7x + 1) = 0 x + -7 + (40 + -8x) + 5(7x + 1) = 0 Reorder the terms: x + -7 + 40 + -8x + 5(1 + 7x) = 0 x + -7 + 40 + -8x + (1 * 5 + 7x * 5) = 0 x + -7 + 40 + -8x + (5 + 35x) = 0 Reorder the terms: -7 + 40 + 5 + x + -8x + 35x = 0 Combine like terms: -7 + 40 = 33 33 + 5 + x + -8x + 35x = 0 Combine like terms: 33 + 5 = 38 38 + x + -8x + 35x = 0 Combine like terms: x + -8x = -7x 38 + -7x + 35x = 0 Combine like terms: -7x + 35x = 28x 38 + 28x = 0 Solving 38 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 28x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 28x = 0 + -38 28x = 0 + -38 Combine like terms: 0 + -38 = -38 28x = -38 Divide each side by '28'. x = -1.357142857 Simplifying x = -1.357142857
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