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Simplifying 4 + -1(3x + 2(x + -1) + 2) + 7x = 3x + -3(x + -3) + 1 Reorder the terms: 4 + -1(3x + 2(-1 + x) + 2) + 7x = 3x + -3(x + -3) + 1 4 + -1(3x + (-1 * 2 + x * 2) + 2) + 7x = 3x + -3(x + -3) + 1 4 + -1(3x + (-2 + 2x) + 2) + 7x = 3x + -3(x + -3) + 1 Reorder the terms: 4 + -1(-2 + 2 + 3x + 2x) + 7x = 3x + -3(x + -3) + 1 Combine like terms: -2 + 2 = 0 4 + -1(0 + 3x + 2x) + 7x = 3x + -3(x + -3) + 1 4 + -1(3x + 2x) + 7x = 3x + -3(x + -3) + 1 Combine like terms: 3x + 2x = 5x 4 + -1(5x) + 7x = 3x + -3(x + -3) + 1 Remove parenthesis around (5x) 4 + -1 * 5x + 7x = 3x + -3(x + -3) + 1 Multiply -1 * 5 4 + -5x + 7x = 3x + -3(x + -3) + 1 Combine like terms: -5x + 7x = 2x 4 + 2x = 3x + -3(x + -3) + 1 Reorder the terms: 4 + 2x = 3x + -3(-3 + x) + 1 4 + 2x = 3x + (-3 * -3 + x * -3) + 1 4 + 2x = 3x + (9 + -3x) + 1 Reorder the terms: 4 + 2x = 9 + 1 + 3x + -3x Combine like terms: 9 + 1 = 10 4 + 2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 2x = 10 + 0 4 + 2x = 10 Solving 4 + 2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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