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Simplifying 2x + -3 + -5x = 13 + (2)(2x + -1) Reorder the terms: -3 + 2x + -5x = 13 + (2)(2x + -1) Combine like terms: 2x + -5x = -3x -3 + -3x = 13 + (2)(2x + -1) Reorder the terms: -3 + -3x = 13 + 2(-1 + 2x) -3 + -3x = 13 + (-1 * 2 + 2x * 2) -3 + -3x = 13 + (-2 + 4x) Combine like terms: 13 + -2 = 11 -3 + -3x = 11 + 4x Solving -3 + -3x = 11 + 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. -3 + -3x + -4x = 11 + 4x + -4x Combine like terms: -3x + -4x = -7x -3 + -7x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -7x = 11 + 0 -3 + -7x = 11 Add '3' to each side of the equation. -3 + 3 + -7x = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 11 + 3 -7x = 11 + 3 Combine like terms: 11 + 3 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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