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Simplifying 36 = -3(4x + 6) + 7(1 + -5x) Reorder the terms: 36 = -3(6 + 4x) + 7(1 + -5x) 36 = (6 * -3 + 4x * -3) + 7(1 + -5x) 36 = (-18 + -12x) + 7(1 + -5x) 36 = -18 + -12x + (1 * 7 + -5x * 7) 36 = -18 + -12x + (7 + -35x) Reorder the terms: 36 = -18 + 7 + -12x + -35x Combine like terms: -18 + 7 = -11 36 = -11 + -12x + -35x Combine like terms: -12x + -35x = -47x 36 = -11 + -47x Solving 36 = -11 + -47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47x' to each side of the equation. 36 + 47x = -11 + -47x + 47x Combine like terms: -47x + 47x = 0 36 + 47x = -11 + 0 36 + 47x = -11 Add '-36' to each side of the equation. 36 + -36 + 47x = -11 + -36 Combine like terms: 36 + -36 = 0 0 + 47x = -11 + -36 47x = -11 + -36 Combine like terms: -11 + -36 = -47 47x = -47 Divide each side by '47'. x = -1 Simplifying x = -1
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