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Simplifying 3(5x + -1) + -8(x + -4) = 0 Reorder the terms: 3(-1 + 5x) + -8(x + -4) = 0 (-1 * 3 + 5x * 3) + -8(x + -4) = 0 (-3 + 15x) + -8(x + -4) = 0 Reorder the terms: -3 + 15x + -8(-4 + x) = 0 -3 + 15x + (-4 * -8 + x * -8) = 0 -3 + 15x + (32 + -8x) = 0 Reorder the terms: -3 + 32 + 15x + -8x = 0 Combine like terms: -3 + 32 = 29 29 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x 29 + 7x = 0 Solving 29 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 7x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 7x = 0 + -29 7x = 0 + -29 Combine like terms: 0 + -29 = -29 7x = -29 Divide each side by '7'. x = -4.142857143 Simplifying x = -4.142857143
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