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Simplifying -2x + 7 + -12 + 3x = 5x + -7x + 10 Reorder the terms: 7 + -12 + -2x + 3x = 5x + -7x + 10 Combine like terms: 7 + -12 = -5 -5 + -2x + 3x = 5x + -7x + 10 Combine like terms: -2x + 3x = 1x -5 + 1x = 5x + -7x + 10 Reorder the terms: -5 + 1x = 10 + 5x + -7x Combine like terms: 5x + -7x = -2x -5 + 1x = 10 + -2x Solving -5 + 1x = 10 + -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. -5 + 1x + 2x = 10 + -2x + 2x Combine like terms: 1x + 2x = 3x -5 + 3x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 3x = 10 + 0 -5 + 3x = 10 Add '5' to each side of the equation. -5 + 5 + 3x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 10 + 5 3x = 10 + 5 Combine like terms: 10 + 5 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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