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Simplifying 5(-3x + 1) + -7x = 1 Reorder the terms: 5(1 + -3x) + -7x = 1 (1 * 5 + -3x * 5) + -7x = 1 (5 + -15x) + -7x = 1 Combine like terms: -15x + -7x = -22x 5 + -22x = 1 Solving 5 + -22x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -22x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -22x = 1 + -5 -22x = 1 + -5 Combine like terms: 1 + -5 = -4 -22x = -4 Divide each side by '-22'. x = 0.1818181818 Simplifying x = 0.1818181818
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