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Simplifying 8x + 2(7x + 1) + -3(x + 4) = 104 Reorder the terms: 8x + 2(1 + 7x) + -3(x + 4) = 104 8x + (1 * 2 + 7x * 2) + -3(x + 4) = 104 8x + (2 + 14x) + -3(x + 4) = 104 Reorder the terms: 8x + 2 + 14x + -3(4 + x) = 104 8x + 2 + 14x + (4 * -3 + x * -3) = 104 8x + 2 + 14x + (-12 + -3x) = 104 Reorder the terms: 2 + -12 + 8x + 14x + -3x = 104 Combine like terms: 2 + -12 = -10 -10 + 8x + 14x + -3x = 104 Combine like terms: 8x + 14x = 22x -10 + 22x + -3x = 104 Combine like terms: 22x + -3x = 19x -10 + 19x = 104 Solving -10 + 19x = 104 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 19x = 104 + 10 Combine like terms: -10 + 10 = 0 0 + 19x = 104 + 10 19x = 104 + 10 Combine like terms: 104 + 10 = 114 19x = 114 Divide each side by '19'. x = 6 Simplifying x = 6
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