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Simplifying 5(3x + -2) + -8(x + 1) = 0 Reorder the terms: 5(-2 + 3x) + -8(x + 1) = 0 (-2 * 5 + 3x * 5) + -8(x + 1) = 0 (-10 + 15x) + -8(x + 1) = 0 Reorder the terms: -10 + 15x + -8(1 + x) = 0 -10 + 15x + (1 * -8 + x * -8) = 0 -10 + 15x + (-8 + -8x) = 0 Reorder the terms: -10 + -8 + 15x + -8x = 0 Combine like terms: -10 + -8 = -18 -18 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x -18 + 7x = 0 Solving -18 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 0 + 18 7x = 0 + 18 Combine like terms: 0 + 18 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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