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Simplifying 3x + 34 = 10x + -50 Reorder the terms: 34 + 3x = 10x + -50 Reorder the terms: 34 + 3x = -50 + 10x Solving 34 + 3x = -50 + 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 = -50 + 10x + -10x Combine like terms: 3x + -10x = -7x 34 + -7x = -50 + 10x + -10x Combine like terms: 10x + -10x = 0 34 + -7x = -50 + 0 34 + -7x = -50 Add '-34' to each side of the equation. 34 + -34 + -7x = -50 + -34 Combine like terms: 34 + -34 = 0 0 + -7x = -50 + -34 -7x = -50 + -34 Combine like terms: -50 + -34 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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