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