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Simplifying 3 + 5(x + -4) = 2(x + 2) Reorder the terms: 3 + 5(-4 + x) = 2(x + 2) 3 + (-4 * 5 + x * 5) = 2(x + 2) 3 + (-20 + 5x) = 2(x + 2) Combine like terms: 3 + -20 = -17 -17 + 5x = 2(x + 2) Reorder the terms: -17 + 5x = 2(2 + x) -17 + 5x = (2 * 2 + x * 2) -17 + 5x = (4 + 2x) Solving -17 + 5x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 5x + -2x = 4 + 2x + -2x Combine like terms: 5x + -2x = 3x -17 + 3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 3x = 4 + 0 -17 + 3x = 4 Add '17' to each side of the equation. -17 + 17 + 3x = 4 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 4 + 17 3x = 4 + 17 Combine like terms: 4 + 17 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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