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Simplifying -6x + -11(x + 7) = -2(8x + 8) Reorder the terms: -6x + -11(7 + x) = -2(8x + 8) -6x + (7 * -11 + x * -11) = -2(8x + 8) -6x + (-77 + -11x) = -2(8x + 8) Reorder the terms: -77 + -6x + -11x = -2(8x + 8) Combine like terms: -6x + -11x = -17x -77 + -17x = -2(8x + 8) Reorder the terms: -77 + -17x = -2(8 + 8x) -77 + -17x = (8 * -2 + 8x * -2) -77 + -17x = (-16 + -16x) Solving -77 + -17x = -16 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -77 + -17x + 16x = -16 + -16x + 16x Combine like terms: -17x + 16x = -1x -77 + -1x = -16 + -16x + 16x Combine like terms: -16x + 16x = 0 -77 + -1x = -16 + 0 -77 + -1x = -16 Add '77' to each side of the equation. -77 + 77 + -1x = -16 + 77 Combine like terms: -77 + 77 = 0 0 + -1x = -16 + 77 -1x = -16 + 77 Combine like terms: -16 + 77 = 61 -1x = 61 Divide each side by '-1'. x = -61 Simplifying x = -61
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