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Simplifying 5(x + 2) + -4(x + 1) = 1 Reorder the terms: 5(2 + x) + -4(x + 1) = 1 (2 * 5 + x * 5) + -4(x + 1) = 1 (10 + 5x) + -4(x + 1) = 1 Reorder the terms: 10 + 5x + -4(1 + x) = 1 10 + 5x + (1 * -4 + x * -4) = 1 10 + 5x + (-4 + -4x) = 1 Reorder the terms: 10 + -4 + 5x + -4x = 1 Combine like terms: 10 + -4 = 6 6 + 5x + -4x = 1 Combine like terms: 5x + -4x = 1x 6 + 1x = 1 Solving 6 + 1x = 1 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 = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 1 + -6 1x = 1 + -6 Combine like terms: 1 + -6 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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