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Simplifying 7x + -3(x + 2) = 2(x + 4) Reorder the terms: 7x + -3(2 + x) = 2(x + 4) 7x + (2 * -3 + x * -3) = 2(x + 4) 7x + (-6 + -3x) = 2(x + 4) Reorder the terms: -6 + 7x + -3x = 2(x + 4) Combine like terms: 7x + -3x = 4x -6 + 4x = 2(x + 4) Reorder the terms: -6 + 4x = 2(4 + x) -6 + 4x = (4 * 2 + x * 2) -6 + 4x = (8 + 2x) Solving -6 + 4x = 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. -6 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = 8 + 0 -6 + 2x = 8 Add '6' to each side of the equation. -6 + 6 + 2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 8 + 6 2x = 8 + 6 Combine like terms: 8 + 6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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