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Simplifying 7 + 4(6 + -5x) = 13 + -14x 7 + (6 * 4 + -5x * 4) = 13 + -14x 7 + (24 + -20x) = 13 + -14x Combine like terms: 7 + 24 = 31 31 + -20x = 13 + -14x Solving 31 + -20x = 13 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 31 + -20x + 14x = 13 + -14x + 14x Combine like terms: -20x + 14x = -6x 31 + -6x = 13 + -14x + 14x Combine like terms: -14x + 14x = 0 31 + -6x = 13 + 0 31 + -6x = 13 Add '-31' to each side of the equation. 31 + -31 + -6x = 13 + -31 Combine like terms: 31 + -31 = 0 0 + -6x = 13 + -31 -6x = 13 + -31 Combine like terms: 13 + -31 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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