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Simplifying -5x + -4(x + -8) = 34 + -8x Reorder the terms: -5x + -4(-8 + x) = 34 + -8x -5x + (-8 * -4 + x * -4) = 34 + -8x -5x + (32 + -4x) = 34 + -8x Reorder the terms: 32 + -5x + -4x = 34 + -8x Combine like terms: -5x + -4x = -9x 32 + -9x = 34 + -8x Solving 32 + -9x = 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. 32 + -9x + 8x = 34 + -8x + 8x Combine like terms: -9x + 8x = -1x 32 + -1x = 34 + -8x + 8x Combine like terms: -8x + 8x = 0 32 + -1x = 34 + 0 32 + -1x = 34 Add '-32' to each side of the equation. 32 + -32 + -1x = 34 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 34 + -32 -1x = 34 + -32 Combine like terms: 34 + -32 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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