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Simplifying 3(x + -7) + 8(5 + X) = 17 Reorder the terms: 3(-7 + x) + 8(5 + X) = 17 (-7 * 3 + x * 3) + 8(5 + X) = 17 (-21 + 3x) + 8(5 + X) = 17 -21 + 3x + (5 * 8 + X * 8) = 17 -21 + 3x + (40 + 8X) = 17 Reorder the terms: -21 + 40 + 8X + 3x = 17 Combine like terms: -21 + 40 = 19 19 + 8X + 3x = 17 Solving 19 + 8X + 3x = 17 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 8X + -19 + 3x = 17 + -19 Reorder the terms: 19 + -19 + 8X + 3x = 17 + -19 Combine like terms: 19 + -19 = 0 0 + 8X + 3x = 17 + -19 8X + 3x = 17 + -19 Combine like terms: 17 + -19 = -2 8X + 3x = -2 Add '-3x' to each side of the equation. 8X + 3x + -3x = -2 + -3x Combine like terms: 3x + -3x = 0 8X + 0 = -2 + -3x 8X = -2 + -3x Divide each side by '8'. X = -0.25 + -0.375x Simplifying X = -0.25 + -0.375x
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