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Simplifying 5x + 2 = 8x + -34 Reorder the terms: 2 + 5x = 8x + -34 Reorder the terms: 2 + 5x = -34 + 8x Solving 2 + 5x = -34 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 5x + -8x = -34 + 8x + -8x Combine like terms: 5x + -8x = -3x 2 + -3x = -34 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -3x = -34 + 0 2 + -3x = -34 Add '-2' to each side of the equation. 2 + -2 + -3x = -34 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = -34 + -2 -3x = -34 + -2 Combine like terms: -34 + -2 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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