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Simplifying (-4x + 96) + -1(10x + 12) = -14 Reorder the terms: (96 + -4x) + -1(10x + 12) = -14 Remove parenthesis around (96 + -4x) 96 + -4x + -1(10x + 12) = -14 Reorder the terms: 96 + -4x + -1(12 + 10x) = -14 96 + -4x + (12 * -1 + 10x * -1) = -14 96 + -4x + (-12 + -10x) = -14 Reorder the terms: 96 + -12 + -4x + -10x = -14 Combine like terms: 96 + -12 = 84 84 + -4x + -10x = -14 Combine like terms: -4x + -10x = -14x 84 + -14x = -14 Solving 84 + -14x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -14x = -14 + -84 Combine like terms: 84 + -84 = 0 0 + -14x = -14 + -84 -14x = -14 + -84 Combine like terms: -14 + -84 = -98 -14x = -98 Divide each side by '-14'. x = 7 Simplifying x = 7
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