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Simplifying 5x + -12 = -7 + -8(8x + -8) Reorder the terms: -12 + 5x = -7 + -8(8x + -8) Reorder the terms: -12 + 5x = -7 + -8(-8 + 8x) -12 + 5x = -7 + (-8 * -8 + 8x * -8) -12 + 5x = -7 + (64 + -64x) Combine like terms: -7 + 64 = 57 -12 + 5x = 57 + -64x Solving -12 + 5x = 57 + -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 + 5x + 64x = 57 + -64x + 64x Combine like terms: 5x + 64x = 69x -12 + 69x = 57 + -64x + 64x Combine like terms: -64x + 64x = 0 -12 + 69x = 57 + 0 -12 + 69x = 57 Add '12' to each side of the equation. -12 + 12 + 69x = 57 + 12 Combine like terms: -12 + 12 = 0 0 + 69x = 57 + 12 69x = 57 + 12 Combine like terms: 57 + 12 = 69 69x = 69 Divide each side by '69'. x = 1 Simplifying x = 1
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