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Simplifying -165 = 3x + 5(3x + -15) Reorder the terms: -165 = 3x + 5(-15 + 3x) -165 = 3x + (-15 * 5 + 3x * 5) -165 = 3x + (-75 + 15x) Reorder the terms: -165 = -75 + 3x + 15x Combine like terms: 3x + 15x = 18x -165 = -75 + 18x Solving -165 = -75 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -165 + -18x = -75 + 18x + -18x Combine like terms: 18x + -18x = 0 -165 + -18x = -75 + 0 -165 + -18x = -75 Add '165' to each side of the equation. -165 + 165 + -18x = -75 + 165 Combine like terms: -165 + 165 = 0 0 + -18x = -75 + 165 -18x = -75 + 165 Combine like terms: -75 + 165 = 90 -18x = 90 Divide each side by '-18'. x = -5 Simplifying x = -5
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