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Simplifying 5x + -1(2x + 1) = 13 + 2(x + -5) Reorder the terms: 5x + -1(1 + 2x) = 13 + 2(x + -5) 5x + (1 * -1 + 2x * -1) = 13 + 2(x + -5) 5x + (-1 + -2x) = 13 + 2(x + -5) Reorder the terms: -1 + 5x + -2x = 13 + 2(x + -5) Combine like terms: 5x + -2x = 3x -1 + 3x = 13 + 2(x + -5) Reorder the terms: -1 + 3x = 13 + 2(-5 + x) -1 + 3x = 13 + (-5 * 2 + x * 2) -1 + 3x = 13 + (-10 + 2x) Combine like terms: 13 + -10 = 3 -1 + 3x = 3 + 2x Solving -1 + 3x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 3x + -2x = 3 + 2x + -2x Combine like terms: 3x + -2x = 1x -1 + 1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 1x = 3 + 0 -1 + 1x = 3 Add '1' to each side of the equation. -1 + 1 + 1x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 3 + 1 1x = 3 + 1 Combine like terms: 3 + 1 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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