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Simplifying 2(-4 + 7x) = 30 + 6x + -6 (-4 * 2 + 7x * 2) = 30 + 6x + -6 (-8 + 14x) = 30 + 6x + -6 Reorder the terms: -8 + 14x = 30 + -6 + 6x Combine like terms: 30 + -6 = 24 -8 + 14x = 24 + 6x Solving -8 + 14x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 14x + -6x = 24 + 6x + -6x Combine like terms: 14x + -6x = 8x -8 + 8x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 8x = 24 + 0 -8 + 8x = 24 Add '8' to each side of the equation. -8 + 8 + 8x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 24 + 8 8x = 24 + 8 Combine like terms: 24 + 8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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