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Simplifying 8(x + -3) + -5(3x + 1) + -6 = 0 Reorder the terms: 8(-3 + x) + -5(3x + 1) + -6 = 0 (-3 * 8 + x * 8) + -5(3x + 1) + -6 = 0 (-24 + 8x) + -5(3x + 1) + -6 = 0 Reorder the terms: -24 + 8x + -5(1 + 3x) + -6 = 0 -24 + 8x + (1 * -5 + 3x * -5) + -6 = 0 -24 + 8x + (-5 + -15x) + -6 = 0 Reorder the terms: -24 + -5 + -6 + 8x + -15x = 0 Combine like terms: -24 + -5 = -29 -29 + -6 + 8x + -15x = 0 Combine like terms: -29 + -6 = -35 -35 + 8x + -15x = 0 Combine like terms: 8x + -15x = -7x -35 + -7x = 0 Solving -35 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -7x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = 0 + 35 -7x = 0 + 35 Combine like terms: 0 + 35 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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