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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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