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Simplifying -12 + -3x = 1 + -8(8x + -6) Reorder the terms: -12 + -3x = 1 + -8(-6 + 8x) -12 + -3x = 1 + (-6 * -8 + 8x * -8) -12 + -3x = 1 + (48 + -64x) Combine like terms: 1 + 48 = 49 -12 + -3x = 49 + -64x Solving -12 + -3x = 49 + -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 + -3x + 64x = 49 + -64x + 64x Combine like terms: -3x + 64x = 61x -12 + 61x = 49 + -64x + 64x Combine like terms: -64x + 64x = 0 -12 + 61x = 49 + 0 -12 + 61x = 49 Add '12' to each side of the equation. -12 + 12 + 61x = 49 + 12 Combine like terms: -12 + 12 = 0 0 + 61x = 49 + 12 61x = 49 + 12 Combine like terms: 49 + 12 = 61 61x = 61 Divide each side by '61'. x = 1 Simplifying x = 1
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