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Simplifying 2(x + -5) = 4x + -1(x + 5) + 1 Reorder the terms: 2(-5 + x) = 4x + -1(x + 5) + 1 (-5 * 2 + x * 2) = 4x + -1(x + 5) + 1 (-10 + 2x) = 4x + -1(x + 5) + 1 Reorder the terms: -10 + 2x = 4x + -1(5 + x) + 1 -10 + 2x = 4x + (5 * -1 + x * -1) + 1 -10 + 2x = 4x + (-5 + -1x) + 1 Reorder the terms: -10 + 2x = -5 + 1 + 4x + -1x Combine like terms: -5 + 1 = -4 -10 + 2x = -4 + 4x + -1x Combine like terms: 4x + -1x = 3x -10 + 2x = -4 + 3x Solving -10 + 2x = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 2x + -3x = -4 + 3x + -3x Combine like terms: 2x + -3x = -1x -10 + -1x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -1x = -4 + 0 -10 + -1x = -4 Add '10' to each side of the equation. -10 + 10 + -1x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -4 + 10 -1x = -4 + 10 Combine like terms: -4 + 10 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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