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Simplifying 5(3x + -1) + -5 = 13x + 2 Reorder the terms: 5(-1 + 3x) + -5 = 13x + 2 (-1 * 5 + 3x * 5) + -5 = 13x + 2 (-5 + 15x) + -5 = 13x + 2 Reorder the terms: -5 + -5 + 15x = 13x + 2 Combine like terms: -5 + -5 = -10 -10 + 15x = 13x + 2 Reorder the terms: -10 + 15x = 2 + 13x Solving -10 + 15x = 2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -10 + 15x + -13x = 2 + 13x + -13x Combine like terms: 15x + -13x = 2x -10 + 2x = 2 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + 2x = 2 + 0 -10 + 2x = 2 Add '10' to each side of the equation. -10 + 10 + 2x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 2 + 10 2x = 2 + 10 Combine like terms: 2 + 10 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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