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Simplifying 5x + -1(6x + 7) = 8x + -34 Reorder the terms: 5x + -1(7 + 6x) = 8x + -34 5x + (7 * -1 + 6x * -1) = 8x + -34 5x + (-7 + -6x) = 8x + -34 Reorder the terms: -7 + 5x + -6x = 8x + -34 Combine like terms: 5x + -6x = -1x -7 + -1x = 8x + -34 Reorder the terms: -7 + -1x = -34 + 8x Solving -7 + -1x = -34 + 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. -7 + -1x + -8x = -34 + 8x + -8x Combine like terms: -1x + -8x = -9x -7 + -9x = -34 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -9x = -34 + 0 -7 + -9x = -34 Add '7' to each side of the equation. -7 + 7 + -9x = -34 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = -34 + 7 -9x = -34 + 7 Combine like terms: -34 + 7 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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