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Simplifying -3x + -34 = 10x + 57 Reorder the terms: -34 + -3x = 10x + 57 Reorder the terms: -34 + -3x = 57 + 10x Solving -34 + -3x = 57 + 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 + -3x + -10x = 57 + 10x + -10x Combine like terms: -3x + -10x = -13x -34 + -13x = 57 + 10x + -10x Combine like terms: 10x + -10x = 0 -34 + -13x = 57 + 0 -34 + -13x = 57 Add '34' to each side of the equation. -34 + 34 + -13x = 57 + 34 Combine like terms: -34 + 34 = 0 0 + -13x = 57 + 34 -13x = 57 + 34 Combine like terms: 57 + 34 = 91 -13x = 91 Divide each side by '-13'. x = -7 Simplifying x = -7
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