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