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Simplifying 7x + -1(3x + 4) + -2x = 7x + -3(-2x + 11) Reorder the terms: 7x + -1(4 + 3x) + -2x = 7x + -3(-2x + 11) 7x + (4 * -1 + 3x * -1) + -2x = 7x + -3(-2x + 11) 7x + (-4 + -3x) + -2x = 7x + -3(-2x + 11) Reorder the terms: -4 + 7x + -3x + -2x = 7x + -3(-2x + 11) Combine like terms: 7x + -3x = 4x -4 + 4x + -2x = 7x + -3(-2x + 11) Combine like terms: 4x + -2x = 2x -4 + 2x = 7x + -3(-2x + 11) Reorder the terms: -4 + 2x = 7x + -3(11 + -2x) -4 + 2x = 7x + (11 * -3 + -2x * -3) -4 + 2x = 7x + (-33 + 6x) Reorder the terms: -4 + 2x = -33 + 7x + 6x Combine like terms: 7x + 6x = 13x -4 + 2x = -33 + 13x Solving -4 + 2x = -33 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -4 + 2x + -13x = -33 + 13x + -13x Combine like terms: 2x + -13x = -11x -4 + -11x = -33 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + -11x = -33 + 0 -4 + -11x = -33 Add '4' to each side of the equation. -4 + 4 + -11x = -33 + 4 Combine like terms: -4 + 4 = 0 0 + -11x = -33 + 4 -11x = -33 + 4 Combine like terms: -33 + 4 = -29 -11x = -29 Divide each side by '-11'. x = 2.636363636 Simplifying x = 2.636363636
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