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Simplifying -5x + 54 = 3x + -2 Reorder the terms: 54 + -5x = 3x + -2 Reorder the terms: 54 + -5x = -2 + 3x Solving 54 + -5x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 54 + -5x + -3x = -2 + 3x + -3x Combine like terms: -5x + -3x = -8x 54 + -8x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 54 + -8x = -2 + 0 54 + -8x = -2 Add '-54' to each side of the equation. 54 + -54 + -8x = -2 + -54 Combine like terms: 54 + -54 = 0 0 + -8x = -2 + -54 -8x = -2 + -54 Combine like terms: -2 + -54 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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