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Simplifying 7x + -1 + -2(x + 5) = -1(x + -3) Reorder the terms: 7x + -1 + -2(5 + x) = -1(x + -3) 7x + -1 + (5 * -2 + x * -2) = -1(x + -3) 7x + -1 + (-10 + -2x) = -1(x + -3) Reorder the terms: -1 + -10 + 7x + -2x = -1(x + -3) Combine like terms: -1 + -10 = -11 -11 + 7x + -2x = -1(x + -3) Combine like terms: 7x + -2x = 5x -11 + 5x = -1(x + -3) Reorder the terms: -11 + 5x = -1(-3 + x) -11 + 5x = (-3 * -1 + x * -1) -11 + 5x = (3 + -1x) Solving -11 + 5x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -11 + 5x + x = 3 + -1x + x Combine like terms: 5x + x = 6x -11 + 6x = 3 + -1x + x Combine like terms: -1x + x = 0 -11 + 6x = 3 + 0 -11 + 6x = 3 Add '11' to each side of the equation. -11 + 11 + 6x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 3 + 11 6x = 3 + 11 Combine like terms: 3 + 11 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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