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Simplifying (x + -1) + -7(2x + -1) = 4(5x + -1) Reorder the terms: (-1 + x) + -7(2x + -1) = 4(5x + -1) Remove parenthesis around (-1 + x) -1 + x + -7(2x + -1) = 4(5x + -1) Reorder the terms: -1 + x + -7(-1 + 2x) = 4(5x + -1) -1 + x + (-1 * -7 + 2x * -7) = 4(5x + -1) -1 + x + (7 + -14x) = 4(5x + -1) Reorder the terms: -1 + 7 + x + -14x = 4(5x + -1) Combine like terms: -1 + 7 = 6 6 + x + -14x = 4(5x + -1) Combine like terms: x + -14x = -13x 6 + -13x = 4(5x + -1) Reorder the terms: 6 + -13x = 4(-1 + 5x) 6 + -13x = (-1 * 4 + 5x * 4) 6 + -13x = (-4 + 20x) Solving 6 + -13x = -4 + 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. 6 + -13x + -20x = -4 + 20x + -20x Combine like terms: -13x + -20x = -33x 6 + -33x = -4 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -33x = -4 + 0 6 + -33x = -4 Add '-6' to each side of the equation. 6 + -6 + -33x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -33x = -4 + -6 -33x = -4 + -6 Combine like terms: -4 + -6 = -10 -33x = -10 Divide each side by '-33'. x = 0.303030303 Simplifying x = 0.303030303
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