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Simplifying 10x + -3 = -2x + 45 Reorder the terms: -3 + 10x = -2x + 45 Reorder the terms: -3 + 10x = 45 + -2x Solving -3 + 10x = 45 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 10x + 2x = 45 + -2x + 2x Combine like terms: 10x + 2x = 12x -3 + 12x = 45 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 12x = 45 + 0 -3 + 12x = 45 Add '3' to each side of the equation. -3 + 3 + 12x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 45 + 3 12x = 45 + 3 Combine like terms: 45 + 3 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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