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Simplifying 5(2x + -3) + -4(x + -1) = 0 Reorder the terms: 5(-3 + 2x) + -4(x + -1) = 0 (-3 * 5 + 2x * 5) + -4(x + -1) = 0 (-15 + 10x) + -4(x + -1) = 0 Reorder the terms: -15 + 10x + -4(-1 + x) = 0 -15 + 10x + (-1 * -4 + x * -4) = 0 -15 + 10x + (4 + -4x) = 0 Reorder the terms: -15 + 4 + 10x + -4x = 0 Combine like terms: -15 + 4 = -11 -11 + 10x + -4x = 0 Combine like terms: 10x + -4x = 6x -11 + 6x = 0 Solving -11 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 0 + 11 6x = 0 + 11 Combine like terms: 0 + 11 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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