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Simplifying 6x + -4(x + 6) = 16x + 12 Reorder the terms: 6x + -4(6 + x) = 16x + 12 6x + (6 * -4 + x * -4) = 16x + 12 6x + (-24 + -4x) = 16x + 12 Reorder the terms: -24 + 6x + -4x = 16x + 12 Combine like terms: 6x + -4x = 2x -24 + 2x = 16x + 12 Reorder the terms: -24 + 2x = 12 + 16x Solving -24 + 2x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -24 + 2x + -16x = 12 + 16x + -16x Combine like terms: 2x + -16x = -14x -24 + -14x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -24 + -14x = 12 + 0 -24 + -14x = 12 Add '24' to each side of the equation. -24 + 24 + -14x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -14x = 12 + 24 -14x = 12 + 24 Combine like terms: 12 + 24 = 36 -14x = 36 Divide each side by '-14'. x = -2.571428571 Simplifying x = -2.571428571
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