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Simplifying 5x + -9x + 21 = 3x + 35 Reorder the terms: 21 + 5x + -9x = 3x + 35 Combine like terms: 5x + -9x = -4x 21 + -4x = 3x + 35 Reorder the terms: 21 + -4x = 35 + 3x Solving 21 + -4x = 35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + -4x + -3x = 35 + 3x + -3x Combine like terms: -4x + -3x = -7x 21 + -7x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -7x = 35 + 0 21 + -7x = 35 Add '-21' to each side of the equation. 21 + -21 + -7x = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = 35 + -21 -7x = 35 + -21 Combine like terms: 35 + -21 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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