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Simplifying 2(x + -4) = 6(x + -12) Reorder the terms: 2(-4 + x) = 6(x + -12) (-4 * 2 + x * 2) = 6(x + -12) (-8 + 2x) = 6(x + -12) Reorder the terms: -8 + 2x = 6(-12 + x) -8 + 2x = (-12 * 6 + x * 6) -8 + 2x = (-72 + 6x) Solving -8 + 2x = -72 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 2x + -6x = -72 + 6x + -6x Combine like terms: 2x + -6x = -4x -8 + -4x = -72 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -4x = -72 + 0 -8 + -4x = -72 Add '8' to each side of the equation. -8 + 8 + -4x = -72 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -72 + 8 -4x = -72 + 8 Combine like terms: -72 + 8 = -64 -4x = -64 Divide each side by '-4'. x = 16 Simplifying x = 16
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