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Simplifying 2x + 6(x + -6) = 2(x + -12) Reorder the terms: 2x + 6(-6 + x) = 2(x + -12) 2x + (-6 * 6 + x * 6) = 2(x + -12) 2x + (-36 + 6x) = 2(x + -12) Reorder the terms: -36 + 2x + 6x = 2(x + -12) Combine like terms: 2x + 6x = 8x -36 + 8x = 2(x + -12) Reorder the terms: -36 + 8x = 2(-12 + x) -36 + 8x = (-12 * 2 + x * 2) -36 + 8x = (-24 + 2x) Solving -36 + 8x = -24 + 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. -36 + 8x + -2x = -24 + 2x + -2x Combine like terms: 8x + -2x = 6x -36 + 6x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 6x = -24 + 0 -36 + 6x = -24 Add '36' to each side of the equation. -36 + 36 + 6x = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = -24 + 36 6x = -24 + 36 Combine like terms: -24 + 36 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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