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Simplifying -12 + -2x = 8(8x + 7) + -2 Reorder the terms: -12 + -2x = 8(7 + 8x) + -2 -12 + -2x = (7 * 8 + 8x * 8) + -2 -12 + -2x = (56 + 64x) + -2 Reorder the terms: -12 + -2x = 56 + -2 + 64x Combine like terms: 56 + -2 = 54 -12 + -2x = 54 + 64x Solving -12 + -2x = 54 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. -12 + -2x + -64x = 54 + 64x + -64x Combine like terms: -2x + -64x = -66x -12 + -66x = 54 + 64x + -64x Combine like terms: 64x + -64x = 0 -12 + -66x = 54 + 0 -12 + -66x = 54 Add '12' to each side of the equation. -12 + 12 + -66x = 54 + 12 Combine like terms: -12 + 12 = 0 0 + -66x = 54 + 12 -66x = 54 + 12 Combine like terms: 54 + 12 = 66 -66x = 66 Divide each side by '-66'. x = -1 Simplifying x = -1
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