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Simplifying 5x + 6(x + -6) = 5(x + -6) Reorder the terms: 5x + 6(-6 + x) = 5(x + -6) 5x + (-6 * 6 + x * 6) = 5(x + -6) 5x + (-36 + 6x) = 5(x + -6) Reorder the terms: -36 + 5x + 6x = 5(x + -6) Combine like terms: 5x + 6x = 11x -36 + 11x = 5(x + -6) Reorder the terms: -36 + 11x = 5(-6 + x) -36 + 11x = (-6 * 5 + x * 5) -36 + 11x = (-30 + 5x) Solving -36 + 11x = -30 + 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. -36 + 11x + -5x = -30 + 5x + -5x Combine like terms: 11x + -5x = 6x -36 + 6x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 6x = -30 + 0 -36 + 6x = -30 Add '36' to each side of the equation. -36 + 36 + 6x = -30 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = -30 + 36 6x = -30 + 36 Combine like terms: -30 + 36 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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