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Simplifying 7(x + -1) + 3 = x + 4(x + 2) + 2 Reorder the terms: 7(-1 + x) + 3 = x + 4(x + 2) + 2 (-1 * 7 + x * 7) + 3 = x + 4(x + 2) + 2 (-7 + 7x) + 3 = x + 4(x + 2) + 2 Reorder the terms: -7 + 3 + 7x = x + 4(x + 2) + 2 Combine like terms: -7 + 3 = -4 -4 + 7x = x + 4(x + 2) + 2 Reorder the terms: -4 + 7x = x + 4(2 + x) + 2 -4 + 7x = x + (2 * 4 + x * 4) + 2 -4 + 7x = x + (8 + 4x) + 2 Reorder the terms: -4 + 7x = 8 + 2 + x + 4x Combine like terms: 8 + 2 = 10 -4 + 7x = 10 + x + 4x Combine like terms: x + 4x = 5x -4 + 7x = 10 + 5x Solving -4 + 7x = 10 + 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. -4 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x -4 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 2x = 10 + 0 -4 + 2x = 10 Add '4' to each side of the equation. -4 + 4 + 2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 10 + 4 2x = 10 + 4 Combine like terms: 10 + 4 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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