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Simplifying 3x + -9x = 6(1 + -11x) + 6(5 + 7x) Combine like terms: 3x + -9x = -6x -6x = 6(1 + -11x) + 6(5 + 7x) -6x = (1 * 6 + -11x * 6) + 6(5 + 7x) -6x = (6 + -66x) + 6(5 + 7x) -6x = 6 + -66x + (5 * 6 + 7x * 6) -6x = 6 + -66x + (30 + 42x) Reorder the terms: -6x = 6 + 30 + -66x + 42x Combine like terms: 6 + 30 = 36 -6x = 36 + -66x + 42x Combine like terms: -66x + 42x = -24x -6x = 36 + -24x Solving -6x = 36 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -6x + 24x = 36 + -24x + 24x Combine like terms: -6x + 24x = 18x 18x = 36 + -24x + 24x Combine like terms: -24x + 24x = 0 18x = 36 + 0 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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