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Simplifying 2(x + 1) + 5(x + -3) = 11(x + -2) Reorder the terms: 2(1 + x) + 5(x + -3) = 11(x + -2) (1 * 2 + x * 2) + 5(x + -3) = 11(x + -2) (2 + 2x) + 5(x + -3) = 11(x + -2) Reorder the terms: 2 + 2x + 5(-3 + x) = 11(x + -2) 2 + 2x + (-3 * 5 + x * 5) = 11(x + -2) 2 + 2x + (-15 + 5x) = 11(x + -2) Reorder the terms: 2 + -15 + 2x + 5x = 11(x + -2) Combine like terms: 2 + -15 = -13 -13 + 2x + 5x = 11(x + -2) Combine like terms: 2x + 5x = 7x -13 + 7x = 11(x + -2) Reorder the terms: -13 + 7x = 11(-2 + x) -13 + 7x = (-2 * 11 + x * 11) -13 + 7x = (-22 + 11x) Solving -13 + 7x = -22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -13 + 7x + -11x = -22 + 11x + -11x Combine like terms: 7x + -11x = -4x -13 + -4x = -22 + 11x + -11x Combine like terms: 11x + -11x = 0 -13 + -4x = -22 + 0 -13 + -4x = -22 Add '13' to each side of the equation. -13 + 13 + -4x = -22 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = -22 + 13 -4x = -22 + 13 Combine like terms: -22 + 13 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25
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