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Simplifying 2x + 5(x + 2) + -21 = 4 + -1(2x + -10) + 2 Reorder the terms: 2x + 5(2 + x) + -21 = 4 + -1(2x + -10) + 2 2x + (2 * 5 + x * 5) + -21 = 4 + -1(2x + -10) + 2 2x + (10 + 5x) + -21 = 4 + -1(2x + -10) + 2 Reorder the terms: 10 + -21 + 2x + 5x = 4 + -1(2x + -10) + 2 Combine like terms: 10 + -21 = -11 -11 + 2x + 5x = 4 + -1(2x + -10) + 2 Combine like terms: 2x + 5x = 7x -11 + 7x = 4 + -1(2x + -10) + 2 Reorder the terms: -11 + 7x = 4 + -1(-10 + 2x) + 2 -11 + 7x = 4 + (-10 * -1 + 2x * -1) + 2 -11 + 7x = 4 + (10 + -2x) + 2 Reorder the terms: -11 + 7x = 4 + 10 + 2 + -2x Combine like terms: 4 + 10 = 14 -11 + 7x = 14 + 2 + -2x Combine like terms: 14 + 2 = 16 -11 + 7x = 16 + -2x Solving -11 + 7x = 16 + -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. -11 + 7x + 2x = 16 + -2x + 2x Combine like terms: 7x + 2x = 9x -11 + 9x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 9x = 16 + 0 -11 + 9x = 16 Add '11' to each side of the equation. -11 + 11 + 9x = 16 + 11 Combine like terms: -11 + 11 = 0 0 + 9x = 16 + 11 9x = 16 + 11 Combine like terms: 16 + 11 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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