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Simplifying 30 + 3x = -7(6x + -8) Reorder the terms: 30 + 3x = -7(-8 + 6x) 30 + 3x = (-8 * -7 + 6x * -7) 30 + 3x = (56 + -42x) Solving 30 + 3x = 56 + -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. 30 + 3x + 42x = 56 + -42x + 42x Combine like terms: 3x + 42x = 45x 30 + 45x = 56 + -42x + 42x Combine like terms: -42x + 42x = 0 30 + 45x = 56 + 0 30 + 45x = 56 Add '-30' to each side of the equation. 30 + -30 + 45x = 56 + -30 Combine like terms: 30 + -30 = 0 0 + 45x = 56 + -30 45x = 56 + -30 Combine like terms: 56 + -30 = 26 45x = 26 Divide each side by '45'. x = 0.5777777778 Simplifying x = 0.5777777778
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