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Simplifying -6(x + 2) = 30 + -4x Reorder the terms: -6(2 + x) = 30 + -4x (2 * -6 + x * -6) = 30 + -4x (-12 + -6x) = 30 + -4x Solving -12 + -6x = 30 + -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. -12 + -6x + 4x = 30 + -4x + 4x Combine like terms: -6x + 4x = -2x -12 + -2x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + -2x = 30 + 0 -12 + -2x = 30 Add '12' to each side of the equation. -12 + 12 + -2x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 30 + 12 -2x = 30 + 12 Combine like terms: 30 + 12 = 42 -2x = 42 Divide each side by '-2'. x = -21 Simplifying x = -21
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