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Simplifying 2(x + -5) + -5(x + 2) = 1 + -4x Reorder the terms: 2(-5 + x) + -5(x + 2) = 1 + -4x (-5 * 2 + x * 2) + -5(x + 2) = 1 + -4x (-10 + 2x) + -5(x + 2) = 1 + -4x Reorder the terms: -10 + 2x + -5(2 + x) = 1 + -4x -10 + 2x + (2 * -5 + x * -5) = 1 + -4x -10 + 2x + (-10 + -5x) = 1 + -4x Reorder the terms: -10 + -10 + 2x + -5x = 1 + -4x Combine like terms: -10 + -10 = -20 -20 + 2x + -5x = 1 + -4x Combine like terms: 2x + -5x = -3x -20 + -3x = 1 + -4x Solving -20 + -3x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -20 + -3x + 4x = 1 + -4x + 4x Combine like terms: -3x + 4x = 1x -20 + 1x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 1x = 1 + 0 -20 + 1x = 1 Add '20' to each side of the equation. -20 + 20 + 1x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 1 + 20 1x = 1 + 20 Combine like terms: 1 + 20 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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