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Simplifying 2(7 + -1x) = 6 + -5(1 + -4x) (7 * 2 + -1x * 2) = 6 + -5(1 + -4x) (14 + -2x) = 6 + -5(1 + -4x) 14 + -2x = 6 + (1 * -5 + -4x * -5) 14 + -2x = 6 + (-5 + 20x) Combine like terms: 6 + -5 = 1 14 + -2x = 1 + 20x Solving 14 + -2x = 1 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 14 + -2x + -20x = 1 + 20x + -20x Combine like terms: -2x + -20x = -22x 14 + -22x = 1 + 20x + -20x Combine like terms: 20x + -20x = 0 14 + -22x = 1 + 0 14 + -22x = 1 Add '-14' to each side of the equation. 14 + -14 + -22x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -22x = 1 + -14 -22x = 1 + -14 Combine like terms: 1 + -14 = -13 -22x = -13 Divide each side by '-22'. x = 0.5909090909 Simplifying x = 0.5909090909
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