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Simplifying 20(x + -3) = 13(x + 2) + -30 Reorder the terms: 20(-3 + x) = 13(x + 2) + -30 (-3 * 20 + x * 20) = 13(x + 2) + -30 (-60 + 20x) = 13(x + 2) + -30 Reorder the terms: -60 + 20x = 13(2 + x) + -30 -60 + 20x = (2 * 13 + x * 13) + -30 -60 + 20x = (26 + 13x) + -30 Reorder the terms: -60 + 20x = 26 + -30 + 13x Combine like terms: 26 + -30 = -4 -60 + 20x = -4 + 13x Solving -60 + 20x = -4 + 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. -60 + 20x + -13x = -4 + 13x + -13x Combine like terms: 20x + -13x = 7x -60 + 7x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 -60 + 7x = -4 + 0 -60 + 7x = -4 Add '60' to each side of the equation. -60 + 60 + 7x = -4 + 60 Combine like terms: -60 + 60 = 0 0 + 7x = -4 + 60 7x = -4 + 60 Combine like terms: -4 + 60 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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