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Simplifying 6(x + -3) = 59 + -5x Reorder the terms: 6(-3 + x) = 59 + -5x (-3 * 6 + x * 6) = 59 + -5x (-18 + 6x) = 59 + -5x Solving -18 + 6x = 59 + -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. -18 + 6x + 5x = 59 + -5x + 5x Combine like terms: 6x + 5x = 11x -18 + 11x = 59 + -5x + 5x Combine like terms: -5x + 5x = 0 -18 + 11x = 59 + 0 -18 + 11x = 59 Add '18' to each side of the equation. -18 + 18 + 11x = 59 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 59 + 18 11x = 59 + 18 Combine like terms: 59 + 18 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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