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Simplifying 2(x + -6) = 30 + -4x Reorder the terms: 2(-6 + x) = 30 + -4x (-6 * 2 + x * 2) = 30 + -4x (-12 + 2x) = 30 + -4x Solving -12 + 2x = 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 + 2x + 4x = 30 + -4x + 4x Combine like terms: 2x + 4x = 6x -12 + 6x = 30 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 6x = 30 + 0 -12 + 6x = 30 Add '12' to each side of the equation. -12 + 12 + 6x = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 30 + 12 6x = 30 + 12 Combine like terms: 30 + 12 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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