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Simplifying 6x + -20 = 3(x + 5) + 13 Reorder the terms: -20 + 6x = 3(x + 5) + 13 Reorder the terms: -20 + 6x = 3(5 + x) + 13 -20 + 6x = (5 * 3 + x * 3) + 13 -20 + 6x = (15 + 3x) + 13 Reorder the terms: -20 + 6x = 15 + 13 + 3x Combine like terms: 15 + 13 = 28 -20 + 6x = 28 + 3x Solving -20 + 6x = 28 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -20 + 6x + -3x = 28 + 3x + -3x Combine like terms: 6x + -3x = 3x -20 + 3x = 28 + 3x + -3x Combine like terms: 3x + -3x = 0 -20 + 3x = 28 + 0 -20 + 3x = 28 Add '20' to each side of the equation. -20 + 20 + 3x = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 28 + 20 3x = 28 + 20 Combine like terms: 28 + 20 = 48 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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