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Simplifying 6(4 + -2x) = 5x + -10 (4 * 6 + -2x * 6) = 5x + -10 (24 + -12x) = 5x + -10 Reorder the terms: 24 + -12x = -10 + 5x Solving 24 + -12x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + -12x + -5x = -10 + 5x + -5x Combine like terms: -12x + -5x = -17x 24 + -17x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -17x = -10 + 0 24 + -17x = -10 Add '-24' to each side of the equation. 24 + -24 + -17x = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -17x = -10 + -24 -17x = -10 + -24 Combine like terms: -10 + -24 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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