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Simplifying 10(2x + -1) = 13(x + 3) Reorder the terms: 10(-1 + 2x) = 13(x + 3) (-1 * 10 + 2x * 10) = 13(x + 3) (-10 + 20x) = 13(x + 3) Reorder the terms: -10 + 20x = 13(3 + x) -10 + 20x = (3 * 13 + x * 13) -10 + 20x = (39 + 13x) Solving -10 + 20x = 39 + 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 + 20x + -13x = 39 + 13x + -13x Combine like terms: 20x + -13x = 7x -10 + 7x = 39 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + 7x = 39 + 0 -10 + 7x = 39 Add '10' to each side of the equation. -10 + 10 + 7x = 39 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 39 + 10 7x = 39 + 10 Combine like terms: 39 + 10 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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