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Simplifying -6(7 + 6x) = -4 + 2x (7 * -6 + 6x * -6) = -4 + 2x (-42 + -36x) = -4 + 2x Solving -42 + -36x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + -36x + -2x = -4 + 2x + -2x Combine like terms: -36x + -2x = -38x -42 + -38x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + -38x = -4 + 0 -42 + -38x = -4 Add '42' to each side of the equation. -42 + 42 + -38x = -4 + 42 Combine like terms: -42 + 42 = 0 0 + -38x = -4 + 42 -38x = -4 + 42 Combine like terms: -4 + 42 = 38 -38x = 38 Divide each side by '-38'. x = -1 Simplifying x = -1
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