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Simplifying 8x + 5(7x + 1) + -3(x + 4) = 104 Reorder the terms: 8x + 5(1 + 7x) + -3(x + 4) = 104 8x + (1 * 5 + 7x * 5) + -3(x + 4) = 104 8x + (5 + 35x) + -3(x + 4) = 104 Reorder the terms: 8x + 5 + 35x + -3(4 + x) = 104 8x + 5 + 35x + (4 * -3 + x * -3) = 104 8x + 5 + 35x + (-12 + -3x) = 104 Reorder the terms: 5 + -12 + 8x + 35x + -3x = 104 Combine like terms: 5 + -12 = -7 -7 + 8x + 35x + -3x = 104 Combine like terms: 8x + 35x = 43x -7 + 43x + -3x = 104 Combine like terms: 43x + -3x = 40x -7 + 40x = 104 Solving -7 + 40x = 104 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 40x = 104 + 7 Combine like terms: -7 + 7 = 0 0 + 40x = 104 + 7 40x = 104 + 7 Combine like terms: 104 + 7 = 111 40x = 111 Divide each side by '40'. x = 2.775 Simplifying x = 2.775
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