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Simplifying 3x + 6 + -8x = 4x + -54 + 3x Reorder the terms: 6 + 3x + -8x = 4x + -54 + 3x Combine like terms: 3x + -8x = -5x 6 + -5x = 4x + -54 + 3x Reorder the terms: 6 + -5x = -54 + 4x + 3x Combine like terms: 4x + 3x = 7x 6 + -5x = -54 + 7x Solving 6 + -5x = -54 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + -5x + -7x = -54 + 7x + -7x Combine like terms: -5x + -7x = -12x 6 + -12x = -54 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -12x = -54 + 0 6 + -12x = -54 Add '-6' to each side of the equation. 6 + -6 + -12x = -54 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = -54 + -6 -12x = -54 + -6 Combine like terms: -54 + -6 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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