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Simplifying 12(2x + -5) + -15(3x + -2) + -5(5 + -2x) = 0 Reorder the terms: 12(-5 + 2x) + -15(3x + -2) + -5(5 + -2x) = 0 (-5 * 12 + 2x * 12) + -15(3x + -2) + -5(5 + -2x) = 0 (-60 + 24x) + -15(3x + -2) + -5(5 + -2x) = 0 Reorder the terms: -60 + 24x + -15(-2 + 3x) + -5(5 + -2x) = 0 -60 + 24x + (-2 * -15 + 3x * -15) + -5(5 + -2x) = 0 -60 + 24x + (30 + -45x) + -5(5 + -2x) = 0 -60 + 24x + 30 + -45x + (5 * -5 + -2x * -5) = 0 -60 + 24x + 30 + -45x + (-25 + 10x) = 0 Reorder the terms: -60 + 30 + -25 + 24x + -45x + 10x = 0 Combine like terms: -60 + 30 = -30 -30 + -25 + 24x + -45x + 10x = 0 Combine like terms: -30 + -25 = -55 -55 + 24x + -45x + 10x = 0 Combine like terms: 24x + -45x = -21x -55 + -21x + 10x = 0 Combine like terms: -21x + 10x = -11x -55 + -11x = 0 Solving -55 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -11x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -11x = 0 + 55 -11x = 0 + 55 Combine like terms: 0 + 55 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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