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Simplifying 2x + -2 + -1(x + 5) = 7x + -2 Reorder the terms: 2x + -2 + -1(5 + x) = 7x + -2 2x + -2 + (5 * -1 + x * -1) = 7x + -2 2x + -2 + (-5 + -1x) = 7x + -2 Reorder the terms: -2 + -5 + 2x + -1x = 7x + -2 Combine like terms: -2 + -5 = -7 -7 + 2x + -1x = 7x + -2 Combine like terms: 2x + -1x = 1x -7 + 1x = 7x + -2 Reorder the terms: -7 + 1x = -2 + 7x Solving -7 + 1x = -2 + 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. -7 + 1x + -7x = -2 + 7x + -7x Combine like terms: 1x + -7x = -6x -7 + -6x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -6x = -2 + 0 -7 + -6x = -2 Add '7' to each side of the equation. -7 + 7 + -6x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = -2 + 7 -6x = -2 + 7 Combine like terms: -2 + 7 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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