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Simplifying 2(2 + -3x) = 3 + -1(2 + -7x) (2 * 2 + -3x * 2) = 3 + -1(2 + -7x) (4 + -6x) = 3 + -1(2 + -7x) 4 + -6x = 3 + (2 * -1 + -7x * -1) 4 + -6x = 3 + (-2 + 7x) Combine like terms: 3 + -2 = 1 4 + -6x = 1 + 7x Solving 4 + -6x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + -6x + -7x = 1 + 7x + -7x Combine like terms: -6x + -7x = -13x 4 + -13x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -13x = 1 + 0 4 + -13x = 1 Add '-4' to each side of the equation. 4 + -4 + -13x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = 1 + -4 -13x = 1 + -4 Combine like terms: 1 + -4 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308
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