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Simplifying 6(2x + -13) = x + 65 Reorder the terms: 6(-13 + 2x) = x + 65 (-13 * 6 + 2x * 6) = x + 65 (-78 + 12x) = x + 65 Reorder the terms: -78 + 12x = 65 + x Solving -78 + 12x = 65 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -78 + 12x + -1x = 65 + x + -1x Combine like terms: 12x + -1x = 11x -78 + 11x = 65 + x + -1x Combine like terms: x + -1x = 0 -78 + 11x = 65 + 0 -78 + 11x = 65 Add '78' to each side of the equation. -78 + 78 + 11x = 65 + 78 Combine like terms: -78 + 78 = 0 0 + 11x = 65 + 78 11x = 65 + 78 Combine like terms: 65 + 78 = 143 11x = 143 Divide each side by '11'. x = 13 Simplifying x = 13
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