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Simplifying 3x + 36 = -7(-6x + 6) Reorder the terms: 36 + 3x = -7(-6x + 6) Reorder the terms: 36 + 3x = -7(6 + -6x) 36 + 3x = (6 * -7 + -6x * -7) 36 + 3x = (-42 + 42x) Solving 36 + 3x = -42 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 36 + 3x + -42x = -42 + 42x + -42x Combine like terms: 3x + -42x = -39x 36 + -39x = -42 + 42x + -42x Combine like terms: 42x + -42x = 0 36 + -39x = -42 + 0 36 + -39x = -42 Add '-36' to each side of the equation. 36 + -36 + -39x = -42 + -36 Combine like terms: 36 + -36 = 0 0 + -39x = -42 + -36 -39x = -42 + -36 Combine like terms: -42 + -36 = -78 -39x = -78 Divide each side by '-39'. x = 2 Simplifying x = 2
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