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Simplifying 4(5 + -4x) = 17 + -14(1 + -5x) (5 * 4 + -4x * 4) = 17 + -14(1 + -5x) (20 + -16x) = 17 + -14(1 + -5x) 20 + -16x = 17 + (1 * -14 + -5x * -14) 20 + -16x = 17 + (-14 + 70x) Combine like terms: 17 + -14 = 3 20 + -16x = 3 + 70x Solving 20 + -16x = 3 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 20 + -16x + -70x = 3 + 70x + -70x Combine like terms: -16x + -70x = -86x 20 + -86x = 3 + 70x + -70x Combine like terms: 70x + -70x = 0 20 + -86x = 3 + 0 20 + -86x = 3 Add '-20' to each side of the equation. 20 + -20 + -86x = 3 + -20 Combine like terms: 20 + -20 = 0 0 + -86x = 3 + -20 -86x = 3 + -20 Combine like terms: 3 + -20 = -17 -86x = -17 Divide each side by '-86'. x = 0.1976744186 Simplifying x = 0.1976744186
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