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Simplifying 12(4x + -6) = 144x Reorder the terms: 12(-6 + 4x) = 144x (-6 * 12 + 4x * 12) = 144x (-72 + 48x) = 144x Solving -72 + 48x = 144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144x' to each side of the equation. -72 + 48x + -144x = 144x + -144x Combine like terms: 48x + -144x = -96x -72 + -96x = 144x + -144x Combine like terms: 144x + -144x = 0 -72 + -96x = 0 Add '72' to each side of the equation. -72 + 72 + -96x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -96x = 0 + 72 -96x = 0 + 72 Combine like terms: 0 + 72 = 72 -96x = 72 Divide each side by '-96'. x = -0.75 Simplifying x = -0.75
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