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Simplifying 7(-1 + x) + -2(x + -11) = 11x + -5x (-1 * 7 + x * 7) + -2(x + -11) = 11x + -5x (-7 + 7x) + -2(x + -11) = 11x + -5x Reorder the terms: -7 + 7x + -2(-11 + x) = 11x + -5x -7 + 7x + (-11 * -2 + x * -2) = 11x + -5x -7 + 7x + (22 + -2x) = 11x + -5x Reorder the terms: -7 + 22 + 7x + -2x = 11x + -5x Combine like terms: -7 + 22 = 15 15 + 7x + -2x = 11x + -5x Combine like terms: 7x + -2x = 5x 15 + 5x = 11x + -5x Combine like terms: 11x + -5x = 6x 15 + 5x = 6x Solving 15 + 5x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 5x + -6x = 6x + -6x Combine like terms: 5x + -6x = -1x 15 + -1x = 6x + -6x Combine like terms: 6x + -6x = 0 15 + -1x = 0 Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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