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Simplifying 5x + -3x + 7 + 10 = 3x + -4x + 2 + 12 Reorder the terms: 7 + 10 + 5x + -3x = 3x + -4x + 2 + 12 Combine like terms: 7 + 10 = 17 17 + 5x + -3x = 3x + -4x + 2 + 12 Combine like terms: 5x + -3x = 2x 17 + 2x = 3x + -4x + 2 + 12 Reorder the terms: 17 + 2x = 2 + 12 + 3x + -4x Combine like terms: 2 + 12 = 14 17 + 2x = 14 + 3x + -4x Combine like terms: 3x + -4x = -1x 17 + 2x = 14 + -1x Solving 17 + 2x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 17 + 2x + x = 14 + -1x + x Combine like terms: 2x + x = 3x 17 + 3x = 14 + -1x + x Combine like terms: -1x + x = 0 17 + 3x = 14 + 0 17 + 3x = 14 Add '-17' to each side of the equation. 17 + -17 + 3x = 14 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 14 + -17 3x = 14 + -17 Combine like terms: 14 + -17 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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