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Simplifying 6(x + -12) = 4(x + -2) Reorder the terms: 6(-12 + x) = 4(x + -2) (-12 * 6 + x * 6) = 4(x + -2) (-72 + 6x) = 4(x + -2) Reorder the terms: -72 + 6x = 4(-2 + x) -72 + 6x = (-2 * 4 + x * 4) -72 + 6x = (-8 + 4x) Solving -72 + 6x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -72 + 6x + -4x = -8 + 4x + -4x Combine like terms: 6x + -4x = 2x -72 + 2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -72 + 2x = -8 + 0 -72 + 2x = -8 Add '72' to each side of the equation. -72 + 72 + 2x = -8 + 72 Combine like terms: -72 + 72 = 0 0 + 2x = -8 + 72 2x = -8 + 72 Combine like terms: -8 + 72 = 64 2x = 64 Divide each side by '2'. x = 32 Simplifying x = 32
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