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Simplifying 5x + -1(2x + 2) = 11x + 7 Reorder the terms: 5x + -1(2 + 2x) = 11x + 7 5x + (2 * -1 + 2x * -1) = 11x + 7 5x + (-2 + -2x) = 11x + 7 Reorder the terms: -2 + 5x + -2x = 11x + 7 Combine like terms: 5x + -2x = 3x -2 + 3x = 11x + 7 Reorder the terms: -2 + 3x = 7 + 11x Solving -2 + 3x = 7 + 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. -2 + 3x + -11x = 7 + 11x + -11x Combine like terms: 3x + -11x = -8x -2 + -8x = 7 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + -8x = 7 + 0 -2 + -8x = 7 Add '2' to each side of the equation. -2 + 2 + -8x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 7 + 2 -8x = 7 + 2 Combine like terms: 7 + 2 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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