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Simplifying 6x + -45 = 8x + -12x Reorder the terms: -45 + 6x = 8x + -12x Combine like terms: 8x + -12x = -4x -45 + 6x = -4x Solving -45 + 6x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -45 + 6x + 4x = -4x + 4x Combine like terms: 6x + 4x = 10x -45 + 10x = -4x + 4x Combine like terms: -4x + 4x = 0 -45 + 10x = 0 Add '45' to each side of the equation. -45 + 45 + 10x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 10x = 0 + 45 10x = 0 + 45 Combine like terms: 0 + 45 = 45 10x = 45 Divide each side by '10'. x = 4.5 Simplifying x = 4.5
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