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Simplifying 3x + -6x + 66 = 5x + 34 Reorder the terms: 66 + 3x + -6x = 5x + 34 Combine like terms: 3x + -6x = -3x 66 + -3x = 5x + 34 Reorder the terms: 66 + -3x = 34 + 5x Solving 66 + -3x = 34 + 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. 66 + -3x + -5x = 34 + 5x + -5x Combine like terms: -3x + -5x = -8x 66 + -8x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 66 + -8x = 34 + 0 66 + -8x = 34 Add '-66' to each side of the equation. 66 + -66 + -8x = 34 + -66 Combine like terms: 66 + -66 = 0 0 + -8x = 34 + -66 -8x = 34 + -66 Combine like terms: 34 + -66 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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