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Simplifying 12(x + -6) = -4(x + 44) Reorder the terms: 12(-6 + x) = -4(x + 44) (-6 * 12 + x * 12) = -4(x + 44) (-72 + 12x) = -4(x + 44) Reorder the terms: -72 + 12x = -4(44 + x) -72 + 12x = (44 * -4 + x * -4) -72 + 12x = (-176 + -4x) Solving -72 + 12x = -176 + -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 + 12x + 4x = -176 + -4x + 4x Combine like terms: 12x + 4x = 16x -72 + 16x = -176 + -4x + 4x Combine like terms: -4x + 4x = 0 -72 + 16x = -176 + 0 -72 + 16x = -176 Add '72' to each side of the equation. -72 + 72 + 16x = -176 + 72 Combine like terms: -72 + 72 = 0 0 + 16x = -176 + 72 16x = -176 + 72 Combine like terms: -176 + 72 = -104 16x = -104 Divide each side by '16'. x = -6.5 Simplifying x = -6.5
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