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Simplifying 2(3x + -6) = 6(x + -2) + x Reorder the terms: 2(-6 + 3x) = 6(x + -2) + x (-6 * 2 + 3x * 2) = 6(x + -2) + x (-12 + 6x) = 6(x + -2) + x Reorder the terms: -12 + 6x = 6(-2 + x) + x -12 + 6x = (-2 * 6 + x * 6) + x -12 + 6x = (-12 + 6x) + x Combine like terms: 6x + x = 7x -12 + 6x = -12 + 7x Add '12' to each side of the equation. -12 + 12 + 6x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 0 + 6x = -12 + 12 + 7x 6x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 6x = 0 + 7x 6x = 7x Solving 6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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