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Simplifying 2(3 + -9x + -6x) + 5(4x + 6) = 6 Combine like terms: -9x + -6x = -15x 2(3 + -15x) + 5(4x + 6) = 6 (3 * 2 + -15x * 2) + 5(4x + 6) = 6 (6 + -30x) + 5(4x + 6) = 6 Reorder the terms: 6 + -30x + 5(6 + 4x) = 6 6 + -30x + (6 * 5 + 4x * 5) = 6 6 + -30x + (30 + 20x) = 6 Reorder the terms: 6 + 30 + -30x + 20x = 6 Combine like terms: 6 + 30 = 36 36 + -30x + 20x = 6 Combine like terms: -30x + 20x = -10x 36 + -10x = 6 Solving 36 + -10x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -10x = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = 6 + -36 -10x = 6 + -36 Combine like terms: 6 + -36 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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