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Simplifying 8x + 6 + 2x + 9 = 4x + 33 Reorder the terms: 6 + 9 + 8x + 2x = 4x + 33 Combine like terms: 6 + 9 = 15 15 + 8x + 2x = 4x + 33 Combine like terms: 8x + 2x = 10x 15 + 10x = 4x + 33 Reorder the terms: 15 + 10x = 33 + 4x Solving 15 + 10x = 33 + 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. 15 + 10x + -4x = 33 + 4x + -4x Combine like terms: 10x + -4x = 6x 15 + 6x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 6x = 33 + 0 15 + 6x = 33 Add '-15' to each side of the equation. 15 + -15 + 6x = 33 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 33 + -15 6x = 33 + -15 Combine like terms: 33 + -15 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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