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Simplifying 5(x + -6) = 7 + -6x Reorder the terms: 5(-6 + x) = 7 + -6x (-6 * 5 + x * 5) = 7 + -6x (-30 + 5x) = 7 + -6x Solving -30 + 5x = 7 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + 5x + 6x = 7 + -6x + 6x Combine like terms: 5x + 6x = 11x -30 + 11x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 11x = 7 + 0 -30 + 11x = 7 Add '30' to each side of the equation. -30 + 30 + 11x = 7 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 7 + 30 11x = 7 + 30 Combine like terms: 7 + 30 = 37 11x = 37 Divide each side by '11'. x = 3.363636364 Simplifying x = 3.363636364
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