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Simplifying 34 = 8(x + 5) + -5x Reorder the terms: 34 = 8(5 + x) + -5x 34 = (5 * 8 + x * 8) + -5x 34 = (40 + 8x) + -5x Combine like terms: 8x + -5x = 3x 34 = 40 + 3x Solving 34 = 40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 34 + -3x = 40 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + -3x = 40 + 0 34 + -3x = 40 Add '-34' to each side of the equation. 34 + -34 + -3x = 40 + -34 Combine like terms: 34 + -34 = 0 0 + -3x = 40 + -34 -3x = 40 + -34 Combine like terms: 40 + -34 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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