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Simplifying 5x + -3(6x + 5) = 89 Reorder the terms: 5x + -3(5 + 6x) = 89 5x + (5 * -3 + 6x * -3) = 89 5x + (-15 + -18x) = 89 Reorder the terms: -15 + 5x + -18x = 89 Combine like terms: 5x + -18x = -13x -15 + -13x = 89 Solving -15 + -13x = 89 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 + -13x = 89 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = 89 + 15 -13x = 89 + 15 Combine like terms: 89 + 15 = 104 -13x = 104 Divide each side by '-13'. x = -8 Simplifying x = -8
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