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Simplifying 2x + -4(5x + -1) = 3x + 17 Reorder the terms: 2x + -4(-1 + 5x) = 3x + 17 2x + (-1 * -4 + 5x * -4) = 3x + 17 2x + (4 + -20x) = 3x + 17 Reorder the terms: 4 + 2x + -20x = 3x + 17 Combine like terms: 2x + -20x = -18x 4 + -18x = 3x + 17 Reorder the terms: 4 + -18x = 17 + 3x Solving 4 + -18x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -18x + -3x = 17 + 3x + -3x Combine like terms: -18x + -3x = -21x 4 + -21x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -21x = 17 + 0 4 + -21x = 17 Add '-4' to each side of the equation. 4 + -4 + -21x = 17 + -4 Combine like terms: 4 + -4 = 0 0 + -21x = 17 + -4 -21x = 17 + -4 Combine like terms: 17 + -4 = 13 -21x = 13 Divide each side by '-21'. x = -0.619047619 Simplifying x = -0.619047619
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