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Simplifying 2(3x + -5) + -5(2x + 4) + 3(5x + 7) = 0 Reorder the terms: 2(-5 + 3x) + -5(2x + 4) + 3(5x + 7) = 0 (-5 * 2 + 3x * 2) + -5(2x + 4) + 3(5x + 7) = 0 (-10 + 6x) + -5(2x + 4) + 3(5x + 7) = 0 Reorder the terms: -10 + 6x + -5(4 + 2x) + 3(5x + 7) = 0 -10 + 6x + (4 * -5 + 2x * -5) + 3(5x + 7) = 0 -10 + 6x + (-20 + -10x) + 3(5x + 7) = 0 Reorder the terms: -10 + 6x + -20 + -10x + 3(7 + 5x) = 0 -10 + 6x + -20 + -10x + (7 * 3 + 5x * 3) = 0 -10 + 6x + -20 + -10x + (21 + 15x) = 0 Reorder the terms: -10 + -20 + 21 + 6x + -10x + 15x = 0 Combine like terms: -10 + -20 = -30 -30 + 21 + 6x + -10x + 15x = 0 Combine like terms: -30 + 21 = -9 -9 + 6x + -10x + 15x = 0 Combine like terms: 6x + -10x = -4x -9 + -4x + 15x = 0 Combine like terms: -4x + 15x = 11x -9 + 11x = 0 Solving -9 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 11x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 11x = 0 + 9 11x = 0 + 9 Combine like terms: 0 + 9 = 9 11x = 9 Divide each side by '11'. x = 0.8181818182 Simplifying x = 0.8181818182
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