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Simplifying 3x + 21 + 2x + -4 = 53 + -4x + 36 Reorder the terms: 21 + -4 + 3x + 2x = 53 + -4x + 36 Combine like terms: 21 + -4 = 17 17 + 3x + 2x = 53 + -4x + 36 Combine like terms: 3x + 2x = 5x 17 + 5x = 53 + -4x + 36 Reorder the terms: 17 + 5x = 53 + 36 + -4x Combine like terms: 53 + 36 = 89 17 + 5x = 89 + -4x Solving 17 + 5x = 89 + -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. 17 + 5x + 4x = 89 + -4x + 4x Combine like terms: 5x + 4x = 9x 17 + 9x = 89 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 9x = 89 + 0 17 + 9x = 89 Add '-17' to each side of the equation. 17 + -17 + 9x = 89 + -17 Combine like terms: 17 + -17 = 0 0 + 9x = 89 + -17 9x = 89 + -17 Combine like terms: 89 + -17 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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