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Simplifying 2x + 1 + 2(-2x + -3) = -4x + -13 Reorder the terms: 2x + 1 + 2(-3 + -2x) = -4x + -13 2x + 1 + (-3 * 2 + -2x * 2) = -4x + -13 2x + 1 + (-6 + -4x) = -4x + -13 Reorder the terms: 1 + -6 + 2x + -4x = -4x + -13 Combine like terms: 1 + -6 = -5 -5 + 2x + -4x = -4x + -13 Combine like terms: 2x + -4x = -2x -5 + -2x = -4x + -13 Reorder the terms: -5 + -2x = -13 + -4x Solving -5 + -2x = -13 + -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. -5 + -2x + 4x = -13 + -4x + 4x Combine like terms: -2x + 4x = 2x -5 + 2x = -13 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 2x = -13 + 0 -5 + 2x = -13 Add '5' to each side of the equation. -5 + 5 + 2x = -13 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -13 + 5 2x = -13 + 5 Combine like terms: -13 + 5 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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