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Simplifying -6 + 6x = 3(8 + 7x) -6 + 6x = (8 * 3 + 7x * 3) -6 + 6x = (24 + 21x) Solving -6 + 6x = 24 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -6 + 6x + -21x = 24 + 21x + -21x Combine like terms: 6x + -21x = -15x -6 + -15x = 24 + 21x + -21x Combine like terms: 21x + -21x = 0 -6 + -15x = 24 + 0 -6 + -15x = 24 Add '6' to each side of the equation. -6 + 6 + -15x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -15x = 24 + 6 -15x = 24 + 6 Combine like terms: 24 + 6 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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