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Simplifying 2(3x + -6) = -2x + 36 Reorder the terms: 2(-6 + 3x) = -2x + 36 (-6 * 2 + 3x * 2) = -2x + 36 (-12 + 6x) = -2x + 36 Reorder the terms: -12 + 6x = 36 + -2x Solving -12 + 6x = 36 + -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. -12 + 6x + 2x = 36 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 36 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = 36 + 0 -12 + 8x = 36 Add '12' to each side of the equation. -12 + 12 + 8x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 36 + 12 8x = 36 + 12 Combine like terms: 36 + 12 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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