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Simplifying 2(5x + -3) + -4(x + 1) = 0 Reorder the terms: 2(-3 + 5x) + -4(x + 1) = 0 (-3 * 2 + 5x * 2) + -4(x + 1) = 0 (-6 + 10x) + -4(x + 1) = 0 Reorder the terms: -6 + 10x + -4(1 + x) = 0 -6 + 10x + (1 * -4 + x * -4) = 0 -6 + 10x + (-4 + -4x) = 0 Reorder the terms: -6 + -4 + 10x + -4x = 0 Combine like terms: -6 + -4 = -10 -10 + 10x + -4x = 0 Combine like terms: 10x + -4x = 6x -10 + 6x = 0 Solving -10 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 0 + 10 6x = 0 + 10 Combine like terms: 0 + 10 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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