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Simplifying 4(8 + -3x) + -2(6x + 5) = 46 (8 * 4 + -3x * 4) + -2(6x + 5) = 46 (32 + -12x) + -2(6x + 5) = 46 Reorder the terms: 32 + -12x + -2(5 + 6x) = 46 32 + -12x + (5 * -2 + 6x * -2) = 46 32 + -12x + (-10 + -12x) = 46 Reorder the terms: 32 + -10 + -12x + -12x = 46 Combine like terms: 32 + -10 = 22 22 + -12x + -12x = 46 Combine like terms: -12x + -12x = -24x 22 + -24x = 46 Solving 22 + -24x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -24x = 46 + -22 Combine like terms: 22 + -22 = 0 0 + -24x = 46 + -22 -24x = 46 + -22 Combine like terms: 46 + -22 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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