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Simplifying 7x + -2(x + 5) = 2(x + 4) Reorder the terms: 7x + -2(5 + x) = 2(x + 4) 7x + (5 * -2 + x * -2) = 2(x + 4) 7x + (-10 + -2x) = 2(x + 4) Reorder the terms: -10 + 7x + -2x = 2(x + 4) Combine like terms: 7x + -2x = 5x -10 + 5x = 2(x + 4) Reorder the terms: -10 + 5x = 2(4 + x) -10 + 5x = (4 * 2 + x * 2) -10 + 5x = (8 + 2x) Solving -10 + 5x = 8 + 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. -10 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 3x = 8 + 0 -10 + 3x = 8 Add '10' to each side of the equation. -10 + 10 + 3x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 8 + 10 3x = 8 + 10 Combine like terms: 8 + 10 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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