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Simplifying 5(x + 1) + -6(2x + -1) = 7(x + 2) Reorder the terms: 5(1 + x) + -6(2x + -1) = 7(x + 2) (1 * 5 + x * 5) + -6(2x + -1) = 7(x + 2) (5 + 5x) + -6(2x + -1) = 7(x + 2) Reorder the terms: 5 + 5x + -6(-1 + 2x) = 7(x + 2) 5 + 5x + (-1 * -6 + 2x * -6) = 7(x + 2) 5 + 5x + (6 + -12x) = 7(x + 2) Reorder the terms: 5 + 6 + 5x + -12x = 7(x + 2) Combine like terms: 5 + 6 = 11 11 + 5x + -12x = 7(x + 2) Combine like terms: 5x + -12x = -7x 11 + -7x = 7(x + 2) Reorder the terms: 11 + -7x = 7(2 + x) 11 + -7x = (2 * 7 + x * 7) 11 + -7x = (14 + 7x) Solving 11 + -7x = 14 + 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. 11 + -7x + -7x = 14 + 7x + -7x Combine like terms: -7x + -7x = -14x 11 + -14x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -14x = 14 + 0 11 + -14x = 14 Add '-11' to each side of the equation. 11 + -11 + -14x = 14 + -11 Combine like terms: 11 + -11 = 0 0 + -14x = 14 + -11 -14x = 14 + -11 Combine like terms: 14 + -11 = 3 -14x = 3 Divide each side by '-14'. x = -0.2142857143 Simplifying x = -0.2142857143
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