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Simplifying -7x + 4(-2x + -6) = -30 + -9x Reorder the terms: -7x + 4(-6 + -2x) = -30 + -9x -7x + (-6 * 4 + -2x * 4) = -30 + -9x -7x + (-24 + -8x) = -30 + -9x Reorder the terms: -24 + -7x + -8x = -30 + -9x Combine like terms: -7x + -8x = -15x -24 + -15x = -30 + -9x Solving -24 + -15x = -30 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -24 + -15x + 9x = -30 + -9x + 9x Combine like terms: -15x + 9x = -6x -24 + -6x = -30 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + -6x = -30 + 0 -24 + -6x = -30 Add '24' to each side of the equation. -24 + 24 + -6x = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = -30 + 24 -6x = -30 + 24 Combine like terms: -30 + 24 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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