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Simplifying 4x + 3(-6x + 5) = -83 Reorder the terms: 4x + 3(5 + -6x) = -83 4x + (5 * 3 + -6x * 3) = -83 4x + (15 + -18x) = -83 Reorder the terms: 15 + 4x + -18x = -83 Combine like terms: 4x + -18x = -14x 15 + -14x = -83 Solving 15 + -14x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -14x = -83 + -15 Combine like terms: 15 + -15 = 0 0 + -14x = -83 + -15 -14x = -83 + -15 Combine like terms: -83 + -15 = -98 -14x = -98 Divide each side by '-14'. x = 7 Simplifying x = 7
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