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Simplifying 3x + -15 = 6(4 + -7x) + 6 Reorder the terms: -15 + 3x = 6(4 + -7x) + 6 -15 + 3x = (4 * 6 + -7x * 6) + 6 -15 + 3x = (24 + -42x) + 6 Reorder the terms: -15 + 3x = 24 + 6 + -42x Combine like terms: 24 + 6 = 30 -15 + 3x = 30 + -42x Solving -15 + 3x = 30 + -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. -15 + 3x + 42x = 30 + -42x + 42x Combine like terms: 3x + 42x = 45x -15 + 45x = 30 + -42x + 42x Combine like terms: -42x + 42x = 0 -15 + 45x = 30 + 0 -15 + 45x = 30 Add '15' to each side of the equation. -15 + 15 + 45x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 45x = 30 + 15 45x = 30 + 15 Combine like terms: 30 + 15 = 45 45x = 45 Divide each side by '45'. x = 1 Simplifying x = 1
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