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Simplifying -5x + -34 = 3(x + 6) + 5x Reorder the terms: -34 + -5x = 3(x + 6) + 5x Reorder the terms: -34 + -5x = 3(6 + x) + 5x -34 + -5x = (6 * 3 + x * 3) + 5x -34 + -5x = (18 + 3x) + 5x Combine like terms: 3x + 5x = 8x -34 + -5x = 18 + 8x Solving -34 + -5x = 18 + 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. -34 + -5x + -8x = 18 + 8x + -8x Combine like terms: -5x + -8x = -13x -34 + -13x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -34 + -13x = 18 + 0 -34 + -13x = 18 Add '34' to each side of the equation. -34 + 34 + -13x = 18 + 34 Combine like terms: -34 + 34 = 0 0 + -13x = 18 + 34 -13x = 18 + 34 Combine like terms: 18 + 34 = 52 -13x = 52 Divide each side by '-13'. x = -4 Simplifying x = -4
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