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Simplifying 8(3x + -2) + -4(2x + 5) = 0 Reorder the terms: 8(-2 + 3x) + -4(2x + 5) = 0 (-2 * 8 + 3x * 8) + -4(2x + 5) = 0 (-16 + 24x) + -4(2x + 5) = 0 Reorder the terms: -16 + 24x + -4(5 + 2x) = 0 -16 + 24x + (5 * -4 + 2x * -4) = 0 -16 + 24x + (-20 + -8x) = 0 Reorder the terms: -16 + -20 + 24x + -8x = 0 Combine like terms: -16 + -20 = -36 -36 + 24x + -8x = 0 Combine like terms: 24x + -8x = 16x -36 + 16x = 0 Solving -36 + 16x = 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 + 16x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 16x = 0 + 36 16x = 0 + 36 Combine like terms: 0 + 36 = 36 16x = 36 Divide each side by '16'. x = 2.25 Simplifying x = 2.25
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