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Simplifying 10x + -45 = 7x + 33 Reorder the terms: -45 + 10x = 7x + 33 Reorder the terms: -45 + 10x = 33 + 7x Solving -45 + 10x = 33 + 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. -45 + 10x + -7x = 33 + 7x + -7x Combine like terms: 10x + -7x = 3x -45 + 3x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + 3x = 33 + 0 -45 + 3x = 33 Add '45' to each side of the equation. -45 + 45 + 3x = 33 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 33 + 45 3x = 33 + 45 Combine like terms: 33 + 45 = 78 3x = 78 Divide each side by '3'. x = 26 Simplifying x = 26
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