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Simplifying 3(2x + -4) + -5(3 + -5x) = 0 Reorder the terms: 3(-4 + 2x) + -5(3 + -5x) = 0 (-4 * 3 + 2x * 3) + -5(3 + -5x) = 0 (-12 + 6x) + -5(3 + -5x) = 0 -12 + 6x + (3 * -5 + -5x * -5) = 0 -12 + 6x + (-15 + 25x) = 0 Reorder the terms: -12 + -15 + 6x + 25x = 0 Combine like terms: -12 + -15 = -27 -27 + 6x + 25x = 0 Combine like terms: 6x + 25x = 31x -27 + 31x = 0 Solving -27 + 31x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 31x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 31x = 0 + 27 31x = 0 + 27 Combine like terms: 0 + 27 = 27 31x = 27 Divide each side by '31'. x = 0.8709677419 Simplifying x = 0.8709677419
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