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Simplifying 10x + -45 = 7 + -3x Reorder the terms: -45 + 10x = 7 + -3x Solving -45 + 10x = 7 + -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. -45 + 10x + 3x = 7 + -3x + 3x Combine like terms: 10x + 3x = 13x -45 + 13x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 -45 + 13x = 7 + 0 -45 + 13x = 7 Add '45' to each side of the equation. -45 + 45 + 13x = 7 + 45 Combine like terms: -45 + 45 = 0 0 + 13x = 7 + 45 13x = 7 + 45 Combine like terms: 7 + 45 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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