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Simplifying 3x + 10 = -1x + 34 Reorder the terms: 10 + 3x = -1x + 34 Reorder the terms: 10 + 3x = 34 + -1x Solving 10 + 3x = 34 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 3x + x = 34 + -1x + x Combine like terms: 3x + x = 4x 10 + 4x = 34 + -1x + x Combine like terms: -1x + x = 0 10 + 4x = 34 + 0 10 + 4x = 34 Add '-10' to each side of the equation. 10 + -10 + 4x = 34 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 34 + -10 4x = 34 + -10 Combine like terms: 34 + -10 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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