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Simplifying -2x + -34 = 2(5x + 3) + 8 Reorder the terms: -34 + -2x = 2(5x + 3) + 8 Reorder the terms: -34 + -2x = 2(3 + 5x) + 8 -34 + -2x = (3 * 2 + 5x * 2) + 8 -34 + -2x = (6 + 10x) + 8 Reorder the terms: -34 + -2x = 6 + 8 + 10x Combine like terms: 6 + 8 = 14 -34 + -2x = 14 + 10x Solving -34 + -2x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -34 + -2x + -10x = 14 + 10x + -10x Combine like terms: -2x + -10x = -12x -34 + -12x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -34 + -12x = 14 + 0 -34 + -12x = 14 Add '34' to each side of the equation. -34 + 34 + -12x = 14 + 34 Combine like terms: -34 + 34 = 0 0 + -12x = 14 + 34 -12x = 14 + 34 Combine like terms: 14 + 34 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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