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Simplifying 5x + 4 + -2x + 7 = 3x + -9 + 4x Reorder the terms: 4 + 7 + 5x + -2x = 3x + -9 + 4x Combine like terms: 4 + 7 = 11 11 + 5x + -2x = 3x + -9 + 4x Combine like terms: 5x + -2x = 3x 11 + 3x = 3x + -9 + 4x Reorder the terms: 11 + 3x = -9 + 3x + 4x Combine like terms: 3x + 4x = 7x 11 + 3x = -9 + 7x Solving 11 + 3x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 3x + -7x = -9 + 7x + -7x Combine like terms: 3x + -7x = -4x 11 + -4x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -4x = -9 + 0 11 + -4x = -9 Add '-11' to each side of the equation. 11 + -11 + -4x = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = -9 + -11 -4x = -9 + -11 Combine like terms: -9 + -11 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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