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Simplifying 7(6 + -1x) = -3(x + 2) (6 * 7 + -1x * 7) = -3(x + 2) (42 + -7x) = -3(x + 2) Reorder the terms: 42 + -7x = -3(2 + x) 42 + -7x = (2 * -3 + x * -3) 42 + -7x = (-6 + -3x) Solving 42 + -7x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 42 + -7x + 3x = -6 + -3x + 3x Combine like terms: -7x + 3x = -4x 42 + -4x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 42 + -4x = -6 + 0 42 + -4x = -6 Add '-42' to each side of the equation. 42 + -42 + -4x = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -4x = -6 + -42 -4x = -6 + -42 Combine like terms: -6 + -42 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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