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Simplifying 5x + -6 = 45 + -3x Reorder the terms: -6 + 5x = 45 + -3x Solving -6 + 5x = 45 + -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. -6 + 5x + 3x = 45 + -3x + 3x Combine like terms: 5x + 3x = 8x -6 + 8x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 8x = 45 + 0 -6 + 8x = 45 Add '6' to each side of the equation. -6 + 6 + 8x = 45 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 45 + 6 8x = 45 + 6 Combine like terms: 45 + 6 = 51 8x = 51 Divide each side by '8'. x = 6.375 Simplifying x = 6.375
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