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Simplifying 3(x + 55) + -4(2x + 1) = 46 Reorder the terms: 3(55 + x) + -4(2x + 1) = 46 (55 * 3 + x * 3) + -4(2x + 1) = 46 (165 + 3x) + -4(2x + 1) = 46 Reorder the terms: 165 + 3x + -4(1 + 2x) = 46 165 + 3x + (1 * -4 + 2x * -4) = 46 165 + 3x + (-4 + -8x) = 46 Reorder the terms: 165 + -4 + 3x + -8x = 46 Combine like terms: 165 + -4 = 161 161 + 3x + -8x = 46 Combine like terms: 3x + -8x = -5x 161 + -5x = 46 Solving 161 + -5x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-161' to each side of the equation. 161 + -161 + -5x = 46 + -161 Combine like terms: 161 + -161 = 0 0 + -5x = 46 + -161 -5x = 46 + -161 Combine like terms: 46 + -161 = -115 -5x = -115 Divide each side by '-5'. x = 23 Simplifying x = 23
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