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Simplifying 7x + -6(x + 4) = -114 Reorder the terms: 7x + -6(4 + x) = -114 7x + (4 * -6 + x * -6) = -114 7x + (-24 + -6x) = -114 Reorder the terms: -24 + 7x + -6x = -114 Combine like terms: 7x + -6x = 1x -24 + 1x = -114 Solving -24 + 1x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1x = -114 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -114 + 24 1x = -114 + 24 Combine like terms: -114 + 24 = -90 1x = -90 Divide each side by '1'. x = -90 Simplifying x = -90
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