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Simplifying -96 = 4x + 6(-3x + -2) Reorder the terms: -96 = 4x + 6(-2 + -3x) -96 = 4x + (-2 * 6 + -3x * 6) -96 = 4x + (-12 + -18x) Reorder the terms: -96 = -12 + 4x + -18x Combine like terms: 4x + -18x = -14x -96 = -12 + -14x Solving -96 = -12 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -96 + 14x = -12 + -14x + 14x Combine like terms: -14x + 14x = 0 -96 + 14x = -12 + 0 -96 + 14x = -12 Add '96' to each side of the equation. -96 + 96 + 14x = -12 + 96 Combine like terms: -96 + 96 = 0 0 + 14x = -12 + 96 14x = -12 + 96 Combine like terms: -12 + 96 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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