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Simplifying 10 + 3x + -4 + 3 + -7x = 2 + -5x + 12 Reorder the terms: 10 + -4 + 3 + 3x + -7x = 2 + -5x + 12 Combine like terms: 10 + -4 = 6 6 + 3 + 3x + -7x = 2 + -5x + 12 Combine like terms: 6 + 3 = 9 9 + 3x + -7x = 2 + -5x + 12 Combine like terms: 3x + -7x = -4x 9 + -4x = 2 + -5x + 12 Reorder the terms: 9 + -4x = 2 + 12 + -5x Combine like terms: 2 + 12 = 14 9 + -4x = 14 + -5x Solving 9 + -4x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 9 + -4x + 5x = 14 + -5x + 5x Combine like terms: -4x + 5x = 1x 9 + 1x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 1x = 14 + 0 9 + 1x = 14 Add '-9' to each side of the equation. 9 + -9 + 1x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 14 + -9 1x = 14 + -9 Combine like terms: 14 + -9 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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