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Simplifying 7x + -1(3x + 6) = 30 + -8x Reorder the terms: 7x + -1(6 + 3x) = 30 + -8x 7x + (6 * -1 + 3x * -1) = 30 + -8x 7x + (-6 + -3x) = 30 + -8x Reorder the terms: -6 + 7x + -3x = 30 + -8x Combine like terms: 7x + -3x = 4x -6 + 4x = 30 + -8x Solving -6 + 4x = 30 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + 4x + 8x = 30 + -8x + 8x Combine like terms: 4x + 8x = 12x -6 + 12x = 30 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 12x = 30 + 0 -6 + 12x = 30 Add '6' to each side of the equation. -6 + 6 + 12x = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 30 + 6 12x = 30 + 6 Combine like terms: 30 + 6 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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