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Simplifying -8x + 6(3x + -7) = -30 + -2x Reorder the terms: -8x + 6(-7 + 3x) = -30 + -2x -8x + (-7 * 6 + 3x * 6) = -30 + -2x -8x + (-42 + 18x) = -30 + -2x Reorder the terms: -42 + -8x + 18x = -30 + -2x Combine like terms: -8x + 18x = 10x -42 + 10x = -30 + -2x Solving -42 + 10x = -30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -42 + 10x + 2x = -30 + -2x + 2x Combine like terms: 10x + 2x = 12x -42 + 12x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 -42 + 12x = -30 + 0 -42 + 12x = -30 Add '42' to each side of the equation. -42 + 42 + 12x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = -30 + 42 12x = -30 + 42 Combine like terms: -30 + 42 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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