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Simplifying 7x + 5(-3x + -2) = -106 Reorder the terms: 7x + 5(-2 + -3x) = -106 7x + (-2 * 5 + -3x * 5) = -106 7x + (-10 + -15x) = -106 Reorder the terms: -10 + 7x + -15x = -106 Combine like terms: 7x + -15x = -8x -10 + -8x = -106 Solving -10 + -8x = -106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -8x = -106 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = -106 + 10 -8x = -106 + 10 Combine like terms: -106 + 10 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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