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Simplifying 5x + -8x + 54 = 2x + 34 Reorder the terms: 54 + 5x + -8x = 2x + 34 Combine like terms: 5x + -8x = -3x 54 + -3x = 2x + 34 Reorder the terms: 54 + -3x = 34 + 2x Solving 54 + -3x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 54 + -3x + -2x = 34 + 2x + -2x Combine like terms: -3x + -2x = -5x 54 + -5x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 54 + -5x = 34 + 0 54 + -5x = 34 Add '-54' to each side of the equation. 54 + -54 + -5x = 34 + -54 Combine like terms: 54 + -54 = 0 0 + -5x = 34 + -54 -5x = 34 + -54 Combine like terms: 34 + -54 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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