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Simplifying 5x + 9 + -3x = -2 + 4x + 21 Reorder the terms: 9 + 5x + -3x = -2 + 4x + 21 Combine like terms: 5x + -3x = 2x 9 + 2x = -2 + 4x + 21 Reorder the terms: 9 + 2x = -2 + 21 + 4x Combine like terms: -2 + 21 = 19 9 + 2x = 19 + 4x Solving 9 + 2x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 2x + -4x = 19 + 4x + -4x Combine like terms: 2x + -4x = -2x 9 + -2x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -2x = 19 + 0 9 + -2x = 19 Add '-9' to each side of the equation. 9 + -9 + -2x = 19 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 19 + -9 -2x = 19 + -9 Combine like terms: 19 + -9 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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