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Simplifying 2x + 3 + -5x + 7 = 4x + -5 + x + -9 Reorder the terms: 3 + 7 + 2x + -5x = 4x + -5 + x + -9 Combine like terms: 3 + 7 = 10 10 + 2x + -5x = 4x + -5 + x + -9 Combine like terms: 2x + -5x = -3x 10 + -3x = 4x + -5 + x + -9 Reorder the terms: 10 + -3x = -5 + -9 + 4x + x Combine like terms: -5 + -9 = -14 10 + -3x = -14 + 4x + x Combine like terms: 4x + x = 5x 10 + -3x = -14 + 5x Solving 10 + -3x = -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. 10 + -3x + -5x = -14 + 5x + -5x Combine like terms: -3x + -5x = -8x 10 + -8x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -8x = -14 + 0 10 + -8x = -14 Add '-10' to each side of the equation. 10 + -10 + -8x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -14 + -10 -8x = -14 + -10 Combine like terms: -14 + -10 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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