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Simplifying 5(6x + -1) + -7 = -8(x + -8) Reorder the terms: 5(-1 + 6x) + -7 = -8(x + -8) (-1 * 5 + 6x * 5) + -7 = -8(x + -8) (-5 + 30x) + -7 = -8(x + -8) Reorder the terms: -5 + -7 + 30x = -8(x + -8) Combine like terms: -5 + -7 = -12 -12 + 30x = -8(x + -8) Reorder the terms: -12 + 30x = -8(-8 + x) -12 + 30x = (-8 * -8 + x * -8) -12 + 30x = (64 + -8x) Solving -12 + 30x = 64 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 30x + 8x = 64 + -8x + 8x Combine like terms: 30x + 8x = 38x -12 + 38x = 64 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 38x = 64 + 0 -12 + 38x = 64 Add '12' to each side of the equation. -12 + 12 + 38x = 64 + 12 Combine like terms: -12 + 12 = 0 0 + 38x = 64 + 12 38x = 64 + 12 Combine like terms: 64 + 12 = 76 38x = 76 Divide each side by '38'. x = 2 Simplifying x = 2
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