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Simplifying 7x + 4(-3x + -6) = -20 + -9x Reorder the terms: 7x + 4(-6 + -3x) = -20 + -9x 7x + (-6 * 4 + -3x * 4) = -20 + -9x 7x + (-24 + -12x) = -20 + -9x Reorder the terms: -24 + 7x + -12x = -20 + -9x Combine like terms: 7x + -12x = -5x -24 + -5x = -20 + -9x Solving -24 + -5x = -20 + -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 + -5x + 9x = -20 + -9x + 9x Combine like terms: -5x + 9x = 4x -24 + 4x = -20 + -9x + 9x Combine like terms: -9x + 9x = 0 -24 + 4x = -20 + 0 -24 + 4x = -20 Add '24' to each side of the equation. -24 + 24 + 4x = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -20 + 24 4x = -20 + 24 Combine like terms: -20 + 24 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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