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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 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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