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Simplifying 8(8x + 7) + -2 = -2(x + 6) Reorder the terms: 8(7 + 8x) + -2 = -2(x + 6) (7 * 8 + 8x * 8) + -2 = -2(x + 6) (56 + 64x) + -2 = -2(x + 6) Reorder the terms: 56 + -2 + 64x = -2(x + 6) Combine like terms: 56 + -2 = 54 54 + 64x = -2(x + 6) Reorder the terms: 54 + 64x = -2(6 + x) 54 + 64x = (6 * -2 + x * -2) 54 + 64x = (-12 + -2x) Solving 54 + 64x = -12 + -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. 54 + 64x + 2x = -12 + -2x + 2x Combine like terms: 64x + 2x = 66x 54 + 66x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 54 + 66x = -12 + 0 54 + 66x = -12 Add '-54' to each side of the equation. 54 + -54 + 66x = -12 + -54 Combine like terms: 54 + -54 = 0 0 + 66x = -12 + -54 66x = -12 + -54 Combine like terms: -12 + -54 = -66 66x = -66 Divide each side by '66'. x = -1 Simplifying x = -1
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