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Simplifying 3(1 + -7x) + -6(7 + -1x) = 6 (1 * 3 + -7x * 3) + -6(7 + -1x) = 6 (3 + -21x) + -6(7 + -1x) = 6 3 + -21x + (7 * -6 + -1x * -6) = 6 3 + -21x + (-42 + 6x) = 6 Reorder the terms: 3 + -42 + -21x + 6x = 6 Combine like terms: 3 + -42 = -39 -39 + -21x + 6x = 6 Combine like terms: -21x + 6x = -15x -39 + -15x = 6 Solving -39 + -15x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -15x = 6 + 39 Combine like terms: -39 + 39 = 0 0 + -15x = 6 + 39 -15x = 6 + 39 Combine like terms: 6 + 39 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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