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Simplifying 2(x + -5) + -3 = -1(2x + 1) + 1 Reorder the terms: 2(-5 + x) + -3 = -1(2x + 1) + 1 (-5 * 2 + x * 2) + -3 = -1(2x + 1) + 1 (-10 + 2x) + -3 = -1(2x + 1) + 1 Reorder the terms: -10 + -3 + 2x = -1(2x + 1) + 1 Combine like terms: -10 + -3 = -13 -13 + 2x = -1(2x + 1) + 1 Reorder the terms: -13 + 2x = -1(1 + 2x) + 1 -13 + 2x = (1 * -1 + 2x * -1) + 1 -13 + 2x = (-1 + -2x) + 1 Reorder the terms: -13 + 2x = -1 + 1 + -2x Combine like terms: -1 + 1 = 0 -13 + 2x = 0 + -2x -13 + 2x = -2x Solving -13 + 2x = -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. -13 + 2x + 2x = -2x + 2x Combine like terms: 2x + 2x = 4x -13 + 4x = -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 4x = 0 Add '13' to each side of the equation. -13 + 13 + 4x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 0 + 13 4x = 0 + 13 Combine like terms: 0 + 13 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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