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Simplifying 3x + -8x + 66 = 2x + 31 Reorder the terms: 66 + 3x + -8x = 2x + 31 Combine like terms: 3x + -8x = -5x 66 + -5x = 2x + 31 Reorder the terms: 66 + -5x = 31 + 2x Solving 66 + -5x = 31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 66 + -5x + -2x = 31 + 2x + -2x Combine like terms: -5x + -2x = -7x 66 + -7x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 66 + -7x = 31 + 0 66 + -7x = 31 Add '-66' to each side of the equation. 66 + -66 + -7x = 31 + -66 Combine like terms: 66 + -66 = 0 0 + -7x = 31 + -66 -7x = 31 + -66 Combine like terms: 31 + -66 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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