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Simplifying -2(3x + 5) + 2x + -5 = 13 Reorder the terms: -2(5 + 3x) + 2x + -5 = 13 (5 * -2 + 3x * -2) + 2x + -5 = 13 (-10 + -6x) + 2x + -5 = 13 Reorder the terms: -10 + -5 + -6x + 2x = 13 Combine like terms: -10 + -5 = -15 -15 + -6x + 2x = 13 Combine like terms: -6x + 2x = -4x -15 + -4x = 13 Solving -15 + -4x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = 13 + 15 -4x = 13 + 15 Combine like terms: 13 + 15 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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