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Simplifying 3x + 8 + -1x = 40 + -2x Reorder the terms: 8 + 3x + -1x = 40 + -2x Combine like terms: 3x + -1x = 2x 8 + 2x = 40 + -2x Solving 8 + 2x = 40 + -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. 8 + 2x + 2x = 40 + -2x + 2x Combine like terms: 2x + 2x = 4x 8 + 4x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 4x = 40 + 0 8 + 4x = 40 Add '-8' to each side of the equation. 8 + -8 + 4x = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 40 + -8 4x = 40 + -8 Combine like terms: 40 + -8 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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