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Simplifying -2x + 7x + -7 = -2(11 + -1x) Reorder the terms: -7 + -2x + 7x = -2(11 + -1x) Combine like terms: -2x + 7x = 5x -7 + 5x = -2(11 + -1x) -7 + 5x = (11 * -2 + -1x * -2) -7 + 5x = (-22 + 2x) Solving -7 + 5x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = -22 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = -22 + 0 -7 + 3x = -22 Add '7' to each side of the equation. -7 + 7 + 3x = -22 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -22 + 7 3x = -22 + 7 Combine like terms: -22 + 7 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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