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Simplifying 6x(7 + -1x) = 36 + -2x(3x + -15) (7 * 6x + -1x * 6x) = 36 + -2x(3x + -15) (42x + -6x2) = 36 + -2x(3x + -15) Reorder the terms: 42x + -6x2 = 36 + -2x(-15 + 3x) 42x + -6x2 = 36 + (-15 * -2x + 3x * -2x) 42x + -6x2 = 36 + (30x + -6x2) Add '6x2' to each side of the equation. 42x + -6x2 + 6x2 = 36 + 30x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 42x + 0 = 36 + 30x + -6x2 + 6x2 42x = 36 + 30x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 42x = 36 + 30x + 0 42x = 36 + 30x Solving 42x = 36 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 42x + -30x = 36 + 30x + -30x Combine like terms: 42x + -30x = 12x 12x = 36 + 30x + -30x Combine like terms: 30x + -30x = 0 12x = 36 + 0 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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