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Simplifying 2x + 20 + 2x + -4 = 52 + -5x + 36 Reorder the terms: 20 + -4 + 2x + 2x = 52 + -5x + 36 Combine like terms: 20 + -4 = 16 16 + 2x + 2x = 52 + -5x + 36 Combine like terms: 2x + 2x = 4x 16 + 4x = 52 + -5x + 36 Reorder the terms: 16 + 4x = 52 + 36 + -5x Combine like terms: 52 + 36 = 88 16 + 4x = 88 + -5x Solving 16 + 4x = 88 + -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. 16 + 4x + 5x = 88 + -5x + 5x Combine like terms: 4x + 5x = 9x 16 + 9x = 88 + -5x + 5x Combine like terms: -5x + 5x = 0 16 + 9x = 88 + 0 16 + 9x = 88 Add '-16' to each side of the equation. 16 + -16 + 9x = 88 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 88 + -16 9x = 88 + -16 Combine like terms: 88 + -16 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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