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Simplifying 8 + -3(9x + -5) = 4(2x + 7) + 34 + -3 Reorder the terms: 8 + -3(-5 + 9x) = 4(2x + 7) + 34 + -3 8 + (-5 * -3 + 9x * -3) = 4(2x + 7) + 34 + -3 8 + (15 + -27x) = 4(2x + 7) + 34 + -3 Combine like terms: 8 + 15 = 23 23 + -27x = 4(2x + 7) + 34 + -3 Reorder the terms: 23 + -27x = 4(7 + 2x) + 34 + -3 23 + -27x = (7 * 4 + 2x * 4) + 34 + -3 23 + -27x = (28 + 8x) + 34 + -3 Reorder the terms: 23 + -27x = 28 + 34 + -3 + 8x Combine like terms: 28 + 34 = 62 23 + -27x = 62 + -3 + 8x Combine like terms: 62 + -3 = 59 23 + -27x = 59 + 8x Solving 23 + -27x = 59 + 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. 23 + -27x + -8x = 59 + 8x + -8x Combine like terms: -27x + -8x = -35x 23 + -35x = 59 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + -35x = 59 + 0 23 + -35x = 59 Add '-23' to each side of the equation. 23 + -23 + -35x = 59 + -23 Combine like terms: 23 + -23 = 0 0 + -35x = 59 + -23 -35x = 59 + -23 Combine like terms: 59 + -23 = 36 -35x = 36 Divide each side by '-35'. x = -1.028571429 Simplifying x = -1.028571429
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