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Simplifying 65 = 5x + 2(6x + -10) Reorder the terms: 65 = 5x + 2(-10 + 6x) 65 = 5x + (-10 * 2 + 6x * 2) 65 = 5x + (-20 + 12x) Reorder the terms: 65 = -20 + 5x + 12x Combine like terms: 5x + 12x = 17x 65 = -20 + 17x Solving 65 = -20 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 65 + -17x = -20 + 17x + -17x Combine like terms: 17x + -17x = 0 65 + -17x = -20 + 0 65 + -17x = -20 Add '-65' to each side of the equation. 65 + -65 + -17x = -20 + -65 Combine like terms: 65 + -65 = 0 0 + -17x = -20 + -65 -17x = -20 + -65 Combine like terms: -20 + -65 = -85 -17x = -85 Divide each side by '-17'. x = 5 Simplifying x = 5
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