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Simplifying 5(3x + -2) = 13x Reorder the terms: 5(-2 + 3x) = 13x (-2 * 5 + 3x * 5) = 13x (-10 + 15x) = 13x Solving -10 + 15x = 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 = 13x + -13x Combine like terms: 15x + -13x = 2x -10 + 2x = 13x + -13x Combine like terms: 13x + -13x = 0 -10 + 2x = 0 Add '10' to each side of the equation. -10 + 10 + 2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 0 + 10 2x = 0 + 10 Combine like terms: 0 + 10 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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