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Simplifying 3x + 0x + 1(24 + -2x) = 31 Anything times zero is zero. 3x + 0x + 1(24 + -2x) = 31 3x + 0 + (24 * 1 + -2x * 1) = 31 3x + 0 + (24 + -2x) = 31 Reorder the terms: 0 + 24 + 3x + -2x = 31 Combine like terms: 0 + 24 = 24 24 + 3x + -2x = 31 Combine like terms: 3x + -2x = 1x 24 + 1x = 31 Solving 24 + 1x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1x = 31 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 31 + -24 1x = 31 + -24 Combine like terms: 31 + -24 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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