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Simplifying 3(5x + -3) + 4(2x + -8) = 0 Reorder the terms: 3(-3 + 5x) + 4(2x + -8) = 0 (-3 * 3 + 5x * 3) + 4(2x + -8) = 0 (-9 + 15x) + 4(2x + -8) = 0 Reorder the terms: -9 + 15x + 4(-8 + 2x) = 0 -9 + 15x + (-8 * 4 + 2x * 4) = 0 -9 + 15x + (-32 + 8x) = 0 Reorder the terms: -9 + -32 + 15x + 8x = 0 Combine like terms: -9 + -32 = -41 -41 + 15x + 8x = 0 Combine like terms: 15x + 8x = 23x -41 + 23x = 0 Solving -41 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 23x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 23x = 0 + 41 23x = 0 + 41 Combine like terms: 0 + 41 = 41 23x = 41 Divide each side by '23'. x = 1.782608696 Simplifying x = 1.782608696
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