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Simplifying -2(x + -1) + -7(8 + -2x) = 11(x + -4) + 6 Reorder the terms: -2(-1 + x) + -7(8 + -2x) = 11(x + -4) + 6 (-1 * -2 + x * -2) + -7(8 + -2x) = 11(x + -4) + 6 (2 + -2x) + -7(8 + -2x) = 11(x + -4) + 6 2 + -2x + (8 * -7 + -2x * -7) = 11(x + -4) + 6 2 + -2x + (-56 + 14x) = 11(x + -4) + 6 Reorder the terms: 2 + -56 + -2x + 14x = 11(x + -4) + 6 Combine like terms: 2 + -56 = -54 -54 + -2x + 14x = 11(x + -4) + 6 Combine like terms: -2x + 14x = 12x -54 + 12x = 11(x + -4) + 6 Reorder the terms: -54 + 12x = 11(-4 + x) + 6 -54 + 12x = (-4 * 11 + x * 11) + 6 -54 + 12x = (-44 + 11x) + 6 Reorder the terms: -54 + 12x = -44 + 6 + 11x Combine like terms: -44 + 6 = -38 -54 + 12x = -38 + 11x Solving -54 + 12x = -38 + 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. -54 + 12x + -11x = -38 + 11x + -11x Combine like terms: 12x + -11x = 1x -54 + 1x = -38 + 11x + -11x Combine like terms: 11x + -11x = 0 -54 + 1x = -38 + 0 -54 + 1x = -38 Add '54' to each side of the equation. -54 + 54 + 1x = -38 + 54 Combine like terms: -54 + 54 = 0 0 + 1x = -38 + 54 1x = -38 + 54 Combine like terms: -38 + 54 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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