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Simplifying 3(2x + -5) + 5(3x + -5) = 0 Reorder the terms: 3(-5 + 2x) + 5(3x + -5) = 0 (-5 * 3 + 2x * 3) + 5(3x + -5) = 0 (-15 + 6x) + 5(3x + -5) = 0 Reorder the terms: -15 + 6x + 5(-5 + 3x) = 0 -15 + 6x + (-5 * 5 + 3x * 5) = 0 -15 + 6x + (-25 + 15x) = 0 Reorder the terms: -15 + -25 + 6x + 15x = 0 Combine like terms: -15 + -25 = -40 -40 + 6x + 15x = 0 Combine like terms: 6x + 15x = 21x -40 + 21x = 0 Solving -40 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 21x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 21x = 0 + 40 21x = 0 + 40 Combine like terms: 0 + 40 = 40 21x = 40 Divide each side by '21'. x = 1.904761905 Simplifying x = 1.904761905
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