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Simplifying 3x + -7(1 + -8x) = -7 + -5x 3x + (1 * -7 + -8x * -7) = -7 + -5x 3x + (-7 + 56x) = -7 + -5x Reorder the terms: -7 + 3x + 56x = -7 + -5x Combine like terms: 3x + 56x = 59x -7 + 59x = -7 + -5x Add '7' to each side of the equation. -7 + 7 + 59x = -7 + 7 + -5x Combine like terms: -7 + 7 = 0 0 + 59x = -7 + 7 + -5x 59x = -7 + 7 + -5x Combine like terms: -7 + 7 = 0 59x = 0 + -5x 59x = -5x Solving 59x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 59x + 5x = -5x + 5x Combine like terms: 59x + 5x = 64x 64x = -5x + 5x Combine like terms: -5x + 5x = 0 64x = 0 Divide each side by '64'. x = 0 Simplifying x = 0
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