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Simplifying 3 + 6(7x + 8) = -6 + 3(x + -7) Reorder the terms: 3 + 6(8 + 7x) = -6 + 3(x + -7) 3 + (8 * 6 + 7x * 6) = -6 + 3(x + -7) 3 + (48 + 42x) = -6 + 3(x + -7) Combine like terms: 3 + 48 = 51 51 + 42x = -6 + 3(x + -7) Reorder the terms: 51 + 42x = -6 + 3(-7 + x) 51 + 42x = -6 + (-7 * 3 + x * 3) 51 + 42x = -6 + (-21 + 3x) Combine like terms: -6 + -21 = -27 51 + 42x = -27 + 3x Solving 51 + 42x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 51 + 42x + -3x = -27 + 3x + -3x Combine like terms: 42x + -3x = 39x 51 + 39x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 51 + 39x = -27 + 0 51 + 39x = -27 Add '-51' to each side of the equation. 51 + -51 + 39x = -27 + -51 Combine like terms: 51 + -51 = 0 0 + 39x = -27 + -51 39x = -27 + -51 Combine like terms: -27 + -51 = -78 39x = -78 Divide each side by '39'. x = -2 Simplifying x = -2
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