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Simplifying -15x + 4x + -6 = -3(5x + 6) Reorder the terms: -6 + -15x + 4x = -3(5x + 6) Combine like terms: -15x + 4x = -11x -6 + -11x = -3(5x + 6) Reorder the terms: -6 + -11x = -3(6 + 5x) -6 + -11x = (6 * -3 + 5x * -3) -6 + -11x = (-18 + -15x) Solving -6 + -11x = -18 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -6 + -11x + 15x = -18 + -15x + 15x Combine like terms: -11x + 15x = 4x -6 + 4x = -18 + -15x + 15x Combine like terms: -15x + 15x = 0 -6 + 4x = -18 + 0 -6 + 4x = -18 Add '6' to each side of the equation. -6 + 6 + 4x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -18 + 6 4x = -18 + 6 Combine like terms: -18 + 6 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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