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Simplifying 5x + 6(-2x + 13) = 1 Reorder the terms: 5x + 6(13 + -2x) = 1 5x + (13 * 6 + -2x * 6) = 1 5x + (78 + -12x) = 1 Reorder the terms: 78 + 5x + -12x = 1 Combine like terms: 5x + -12x = -7x 78 + -7x = 1 Solving 78 + -7x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + -7x = 1 + -78 Combine like terms: 78 + -78 = 0 0 + -7x = 1 + -78 -7x = 1 + -78 Combine like terms: 1 + -78 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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