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Simplifying 6(5 + -2x) = 5x + 13 (5 * 6 + -2x * 6) = 5x + 13 (30 + -12x) = 5x + 13 Reorder the terms: 30 + -12x = 13 + 5x Solving 30 + -12x = 13 + 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. 30 + -12x + -5x = 13 + 5x + -5x Combine like terms: -12x + -5x = -17x 30 + -17x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -17x = 13 + 0 30 + -17x = 13 Add '-30' to each side of the equation. 30 + -30 + -17x = 13 + -30 Combine like terms: 30 + -30 = 0 0 + -17x = 13 + -30 -17x = 13 + -30 Combine like terms: 13 + -30 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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