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Simplifying 2x + 5 + -6(x + 1) = 7x + -5 Reorder the terms: 2x + 5 + -6(1 + x) = 7x + -5 2x + 5 + (1 * -6 + x * -6) = 7x + -5 2x + 5 + (-6 + -6x) = 7x + -5 Reorder the terms: 5 + -6 + 2x + -6x = 7x + -5 Combine like terms: 5 + -6 = -1 -1 + 2x + -6x = 7x + -5 Combine like terms: 2x + -6x = -4x -1 + -4x = 7x + -5 Reorder the terms: -1 + -4x = -5 + 7x Solving -1 + -4x = -5 + 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. -1 + -4x + -7x = -5 + 7x + -7x Combine like terms: -4x + -7x = -11x -1 + -11x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -11x = -5 + 0 -1 + -11x = -5 Add '1' to each side of the equation. -1 + 1 + -11x = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -11x = -5 + 1 -11x = -5 + 1 Combine like terms: -5 + 1 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636
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