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Simplifying x + 5 + 3x + -1 + 4x + -2 = 66 Reorder the terms: 5 + -1 + -2 + x + 3x + 4x = 66 Combine like terms: 5 + -1 = 4 4 + -2 + x + 3x + 4x = 66 Combine like terms: 4 + -2 = 2 2 + x + 3x + 4x = 66 Combine like terms: x + 3x = 4x 2 + 4x + 4x = 66 Combine like terms: 4x + 4x = 8x 2 + 8x = 66 Solving 2 + 8x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8x = 66 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 66 + -2 8x = 66 + -2 Combine like terms: 66 + -2 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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