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Simplifying 5(x + -2) + -1(4x + -4) = -4 Reorder the terms: 5(-2 + x) + -1(4x + -4) = -4 (-2 * 5 + x * 5) + -1(4x + -4) = -4 (-10 + 5x) + -1(4x + -4) = -4 Reorder the terms: -10 + 5x + -1(-4 + 4x) = -4 -10 + 5x + (-4 * -1 + 4x * -1) = -4 -10 + 5x + (4 + -4x) = -4 Reorder the terms: -10 + 4 + 5x + -4x = -4 Combine like terms: -10 + 4 = -6 -6 + 5x + -4x = -4 Combine like terms: 5x + -4x = 1x -6 + 1x = -4 Solving -6 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -4 + 6 1x = -4 + 6 Combine like terms: -4 + 6 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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