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Simplifying 10x + -45 = 4x + 6 Reorder the terms: -45 + 10x = 4x + 6 Reorder the terms: -45 + 10x = 6 + 4x Solving -45 + 10x = 6 + 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 + 10x + -4x = 6 + 4x + -4x Combine like terms: 10x + -4x = 6x -45 + 6x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 6x = 6 + 0 -45 + 6x = 6 Add '45' to each side of the equation. -45 + 45 + 6x = 6 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 6 + 45 6x = 6 + 45 Combine like terms: 6 + 45 = 51 6x = 51 Divide each side by '6'. x = 8.5 Simplifying x = 8.5
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