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Simplifying 2x + 6(x + -4) = 2(x + -6) Reorder the terms: 2x + 6(-4 + x) = 2(x + -6) 2x + (-4 * 6 + x * 6) = 2(x + -6) 2x + (-24 + 6x) = 2(x + -6) Reorder the terms: -24 + 2x + 6x = 2(x + -6) Combine like terms: 2x + 6x = 8x -24 + 8x = 2(x + -6) Reorder the terms: -24 + 8x = 2(-6 + x) -24 + 8x = (-6 * 2 + x * 2) -24 + 8x = (-12 + 2x) Solving -24 + 8x = -12 + 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. -24 + 8x + -2x = -12 + 2x + -2x Combine like terms: 8x + -2x = 6x -24 + 6x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 6x = -12 + 0 -24 + 6x = -12 Add '24' to each side of the equation. -24 + 24 + 6x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = -12 + 24 6x = -12 + 24 Combine like terms: -12 + 24 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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