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Simplifying 10x + 3(2x + -4(3x + -3(2x + -1))) = 0 Reorder the terms: 10x + 3(2x + -4(3x + -3(-1 + 2x))) = 0 10x + 3(2x + -4(3x + (-1 * -3 + 2x * -3))) = 0 10x + 3(2x + -4(3x + (3 + -6x))) = 0 Reorder the terms: 10x + 3(2x + -4(3 + 3x + -6x)) = 0 Combine like terms: 3x + -6x = -3x 10x + 3(2x + -4(3 + -3x)) = 0 10x + 3(2x + (3 * -4 + -3x * -4)) = 0 10x + 3(2x + (-12 + 12x)) = 0 Reorder the terms: 10x + 3(-12 + 2x + 12x) = 0 Combine like terms: 2x + 12x = 14x 10x + 3(-12 + 14x) = 0 10x + (-12 * 3 + 14x * 3) = 0 10x + (-36 + 42x) = 0 Reorder the terms: -36 + 10x + 42x = 0 Combine like terms: 10x + 42x = 52x -36 + 52x = 0 Solving -36 + 52x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 52x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 52x = 0 + 36 52x = 0 + 36 Combine like terms: 0 + 36 = 36 52x = 36 Divide each side by '52'. x = 0.6923076923 Simplifying x = 0.6923076923
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