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Simplifying 3(x + -5) = 20 + 2(5 + 3x) Reorder the terms: 3(-5 + x) = 20 + 2(5 + 3x) (-5 * 3 + x * 3) = 20 + 2(5 + 3x) (-15 + 3x) = 20 + 2(5 + 3x) -15 + 3x = 20 + (5 * 2 + 3x * 2) -15 + 3x = 20 + (10 + 6x) Combine like terms: 20 + 10 = 30 -15 + 3x = 30 + 6x Solving -15 + 3x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 3x + -6x = 30 + 6x + -6x Combine like terms: 3x + -6x = -3x -15 + -3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -3x = 30 + 0 -15 + -3x = 30 Add '15' to each side of the equation. -15 + 15 + -3x = 30 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 30 + 15 -3x = 30 + 15 Combine like terms: 30 + 15 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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