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Simplifying -165 = -6x + -3(5x + 6) Reorder the terms: -165 = -6x + -3(6 + 5x) -165 = -6x + (6 * -3 + 5x * -3) -165 = -6x + (-18 + -15x) Reorder the terms: -165 = -18 + -6x + -15x Combine like terms: -6x + -15x = -21x -165 = -18 + -21x Solving -165 = -18 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -165 + 21x = -18 + -21x + 21x Combine like terms: -21x + 21x = 0 -165 + 21x = -18 + 0 -165 + 21x = -18 Add '165' to each side of the equation. -165 + 165 + 21x = -18 + 165 Combine like terms: -165 + 165 = 0 0 + 21x = -18 + 165 21x = -18 + 165 Combine like terms: -18 + 165 = 147 21x = 147 Divide each side by '21'. x = 7 Simplifying x = 7
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