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Simplifying 7(x + -4) = 3x + 2(x + 1) Reorder the terms: 7(-4 + x) = 3x + 2(x + 1) (-4 * 7 + x * 7) = 3x + 2(x + 1) (-28 + 7x) = 3x + 2(x + 1) Reorder the terms: -28 + 7x = 3x + 2(1 + x) -28 + 7x = 3x + (1 * 2 + x * 2) -28 + 7x = 3x + (2 + 2x) Reorder the terms: -28 + 7x = 2 + 3x + 2x Combine like terms: 3x + 2x = 5x -28 + 7x = 2 + 5x Solving -28 + 7x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -28 + 7x + -5x = 2 + 5x + -5x Combine like terms: 7x + -5x = 2x -28 + 2x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -28 + 2x = 2 + 0 -28 + 2x = 2 Add '28' to each side of the equation. -28 + 28 + 2x = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 2 + 28 2x = 2 + 28 Combine like terms: 2 + 28 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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