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Simplifying -7x + 4(-2x + -6) = -114 Reorder the terms: -7x + 4(-6 + -2x) = -114 -7x + (-6 * 4 + -2x * 4) = -114 -7x + (-24 + -8x) = -114 Reorder the terms: -24 + -7x + -8x = -114 Combine like terms: -7x + -8x = -15x -24 + -15x = -114 Solving -24 + -15x = -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 + -15x = -114 + 24 Combine like terms: -24 + 24 = 0 0 + -15x = -114 + 24 -15x = -114 + 24 Combine like terms: -114 + 24 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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