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Simplifying 42(x + 31) = 55x + -165 Reorder the terms: 42(31 + x) = 55x + -165 (31 * 42 + x * 42) = 55x + -165 (1302 + 42x) = 55x + -165 Reorder the terms: 1302 + 42x = -165 + 55x Solving 1302 + 42x = -165 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 1302 + 42x + -55x = -165 + 55x + -55x Combine like terms: 42x + -55x = -13x 1302 + -13x = -165 + 55x + -55x Combine like terms: 55x + -55x = 0 1302 + -13x = -165 + 0 1302 + -13x = -165 Add '-1302' to each side of the equation. 1302 + -1302 + -13x = -165 + -1302 Combine like terms: 1302 + -1302 = 0 0 + -13x = -165 + -1302 -13x = -165 + -1302 Combine like terms: -165 + -1302 = -1467 -13x = -1467 Divide each side by '-13'. x = 112.8461538 Simplifying x = 112.8461538
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