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Simplifying 3x + 2 + -5x = -34 + -30x + 4 Reorder the terms: 2 + 3x + -5x = -34 + -30x + 4 Combine like terms: 3x + -5x = -2x 2 + -2x = -34 + -30x + 4 Reorder the terms: 2 + -2x = -34 + 4 + -30x Combine like terms: -34 + 4 = -30 2 + -2x = -30 + -30x Solving 2 + -2x = -30 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 2 + -2x + 30x = -30 + -30x + 30x Combine like terms: -2x + 30x = 28x 2 + 28x = -30 + -30x + 30x Combine like terms: -30x + 30x = 0 2 + 28x = -30 + 0 2 + 28x = -30 Add '-2' to each side of the equation. 2 + -2 + 28x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + 28x = -30 + -2 28x = -30 + -2 Combine like terms: -30 + -2 = -32 28x = -32 Divide each side by '28'. x = -1.142857143 Simplifying x = -1.142857143
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