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Simplifying 8 + -8(8 + 8x) = -12(1 + 3x) + 12 8 + (8 * -8 + 8x * -8) = -12(1 + 3x) + 12 8 + (-64 + -64x) = -12(1 + 3x) + 12 Combine like terms: 8 + -64 = -56 -56 + -64x = -12(1 + 3x) + 12 -56 + -64x = (1 * -12 + 3x * -12) + 12 -56 + -64x = (-12 + -36x) + 12 Reorder the terms: -56 + -64x = -12 + 12 + -36x Combine like terms: -12 + 12 = 0 -56 + -64x = 0 + -36x -56 + -64x = -36x Solving -56 + -64x = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -56 + -64x + 36x = -36x + 36x Combine like terms: -64x + 36x = -28x -56 + -28x = -36x + 36x Combine like terms: -36x + 36x = 0 -56 + -28x = 0 Add '56' to each side of the equation. -56 + 56 + -28x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -28x = 0 + 56 -28x = 0 + 56 Combine like terms: 0 + 56 = 56 -28x = 56 Divide each side by '-28'. x = -2 Simplifying x = -2
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