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Simplifying 7x + 4x = -1(1 + -8x) + -8(x + -7) Combine like terms: 7x + 4x = 11x 11x = -1(1 + -8x) + -8(x + -7) 11x = (1 * -1 + -8x * -1) + -8(x + -7) 11x = (-1 + 8x) + -8(x + -7) Reorder the terms: 11x = -1 + 8x + -8(-7 + x) 11x = -1 + 8x + (-7 * -8 + x * -8) 11x = -1 + 8x + (56 + -8x) Reorder the terms: 11x = -1 + 56 + 8x + -8x Combine like terms: -1 + 56 = 55 11x = 55 + 8x + -8x Combine like terms: 8x + -8x = 0 11x = 55 + 0 11x = 55 Solving 11x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '11'. x = 5 Simplifying x = 5
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