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Simplifying -4(2x + -3) + -5(-3x + 4) = 0 Reorder the terms: -4(-3 + 2x) + -5(-3x + 4) = 0 (-3 * -4 + 2x * -4) + -5(-3x + 4) = 0 (12 + -8x) + -5(-3x + 4) = 0 Reorder the terms: 12 + -8x + -5(4 + -3x) = 0 12 + -8x + (4 * -5 + -3x * -5) = 0 12 + -8x + (-20 + 15x) = 0 Reorder the terms: 12 + -20 + -8x + 15x = 0 Combine like terms: 12 + -20 = -8 -8 + -8x + 15x = 0 Combine like terms: -8x + 15x = 7x -8 + 7x = 0 Solving -8 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 0 + 8 7x = 0 + 8 Combine like terms: 0 + 8 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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