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Simplifying -7x + 6 = 3(8 + -4x) Reorder the terms: 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 = 18 5x = 18 Divide each side by '5'. x = 3.6 Simplifying x = 3.6
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