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Simplifying -6(x + 7) = 4x + -2 Reorder the terms: -6(7 + x) = 4x + -2 (7 * -6 + x * -6) = 4x + -2 (-42 + -6x) = 4x + -2 Reorder the terms: -42 + -6x = -2 + 4x Solving -42 + -6x = -2 + 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. -42 + -6x + -4x = -2 + 4x + -4x Combine like terms: -6x + -4x = -10x -42 + -10x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -10x = -2 + 0 -42 + -10x = -2 Add '42' to each side of the equation. -42 + 42 + -10x = -2 + 42 Combine like terms: -42 + 42 = 0 0 + -10x = -2 + 42 -10x = -2 + 42 Combine like terms: -2 + 42 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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