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Simplifying 5(x + -2) + -4(x + 1) = 50 Reorder the terms: 5(-2 + x) + -4(x + 1) = 50 (-2 * 5 + x * 5) + -4(x + 1) = 50 (-10 + 5x) + -4(x + 1) = 50 Reorder the terms: -10 + 5x + -4(1 + x) = 50 -10 + 5x + (1 * -4 + x * -4) = 50 -10 + 5x + (-4 + -4x) = 50 Reorder the terms: -10 + -4 + 5x + -4x = 50 Combine like terms: -10 + -4 = -14 -14 + 5x + -4x = 50 Combine like terms: 5x + -4x = 1x -14 + 1x = 50 Solving -14 + 1x = 50 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 = 50 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 50 + 14 1x = 50 + 14 Combine like terms: 50 + 14 = 64 1x = 64 Divide each side by '1'. x = 64 Simplifying x = 64
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