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Simplifying 6x + 8(x + 4) + -3(2x + -5) = 0 Reorder the terms: 6x + 8(4 + x) + -3(2x + -5) = 0 6x + (4 * 8 + x * 8) + -3(2x + -5) = 0 6x + (32 + 8x) + -3(2x + -5) = 0 Reorder the terms: 6x + 32 + 8x + -3(-5 + 2x) = 0 6x + 32 + 8x + (-5 * -3 + 2x * -3) = 0 6x + 32 + 8x + (15 + -6x) = 0 Reorder the terms: 32 + 15 + 6x + 8x + -6x = 0 Combine like terms: 32 + 15 = 47 47 + 6x + 8x + -6x = 0 Combine like terms: 6x + 8x = 14x 47 + 14x + -6x = 0 Combine like terms: 14x + -6x = 8x 47 + 8x = 0 Solving 47 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 8x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 8x = 0 + -47 8x = 0 + -47 Combine like terms: 0 + -47 = -47 8x = -47 Divide each side by '8'. x = -5.875 Simplifying x = -5.875
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