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Simplifying 7x + -3(4x + 8) = 6x + 12 + -9x Reorder the terms: 7x + -3(8 + 4x) = 6x + 12 + -9x 7x + (8 * -3 + 4x * -3) = 6x + 12 + -9x 7x + (-24 + -12x) = 6x + 12 + -9x Reorder the terms: -24 + 7x + -12x = 6x + 12 + -9x Combine like terms: 7x + -12x = -5x -24 + -5x = 6x + 12 + -9x Reorder the terms: -24 + -5x = 12 + 6x + -9x Combine like terms: 6x + -9x = -3x -24 + -5x = 12 + -3x Solving -24 + -5x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + -5x + 3x = 12 + -3x + 3x Combine like terms: -5x + 3x = -2x -24 + -2x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + -2x = 12 + 0 -24 + -2x = 12 Add '24' to each side of the equation. -24 + 24 + -2x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 12 + 24 -2x = 12 + 24 Combine like terms: 12 + 24 = 36 -2x = 36 Divide each side by '-2'. x = -18 Simplifying x = -18
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