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Simplifying 6 + 7x = 3(-8 + 4x) 6 + 7x = (-8 * 3 + 4x * 3) 6 + 7x = (-24 + 12x) Solving 6 + 7x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 7x + -12x = -24 + 12x + -12x Combine like terms: 7x + -12x = -5x 6 + -5x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -5x = -24 + 0 6 + -5x = -24 Add '-6' to each side of the equation. 6 + -6 + -5x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = -24 + -6 -5x = -24 + -6 Combine like terms: -24 + -6 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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