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Simplifying -4(x + 3) + -5(x + 1) = 6 Reorder the terms: -4(3 + x) + -5(x + 1) = 6 (3 * -4 + x * -4) + -5(x + 1) = 6 (-12 + -4x) + -5(x + 1) = 6 Reorder the terms: -12 + -4x + -5(1 + x) = 6 -12 + -4x + (1 * -5 + x * -5) = 6 -12 + -4x + (-5 + -5x) = 6 Reorder the terms: -12 + -5 + -4x + -5x = 6 Combine like terms: -12 + -5 = -17 -17 + -4x + -5x = 6 Combine like terms: -4x + -5x = -9x -17 + -9x = 6 Solving -17 + -9x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -9x = 6 + 17 Combine like terms: -17 + 17 = 0 0 + -9x = 6 + 17 -9x = 6 + 17 Combine like terms: 6 + 17 = 23 -9x = 23 Divide each side by '-9'. x = -2.555555556 Simplifying x = -2.555555556
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