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Simplifying -4(x + -4) + 5(x + -6) = -6 Reorder the terms: -4(-4 + x) + 5(x + -6) = -6 (-4 * -4 + x * -4) + 5(x + -6) = -6 (16 + -4x) + 5(x + -6) = -6 Reorder the terms: 16 + -4x + 5(-6 + x) = -6 16 + -4x + (-6 * 5 + x * 5) = -6 16 + -4x + (-30 + 5x) = -6 Reorder the terms: 16 + -30 + -4x + 5x = -6 Combine like terms: 16 + -30 = -14 -14 + -4x + 5x = -6 Combine like terms: -4x + 5x = 1x -14 + 1x = -6 Solving -14 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -6 + 14 1x = -6 + 14 Combine like terms: -6 + 14 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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