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Simplifying 2x + -2(x + 5(1 + -2x) + 4x + -1) + -1(x + 3) = 2 + 3(x + 2) + 7x 2x + -2(x + (1 * 5 + -2x * 5) + 4x + -1) + -1(x + 3) = 2 + 3(x + 2) + 7x 2x + -2(x + (5 + -10x) + 4x + -1) + -1(x + 3) = 2 + 3(x + 2) + 7x Reorder the terms: 2x + -2(5 + -1 + x + -10x + 4x) + -1(x + 3) = 2 + 3(x + 2) + 7x Combine like terms: 5 + -1 = 4 2x + -2(4 + x + -10x + 4x) + -1(x + 3) = 2 + 3(x + 2) + 7x Combine like terms: x + -10x = -9x 2x + -2(4 + -9x + 4x) + -1(x + 3) = 2 + 3(x + 2) + 7x Combine like terms: -9x + 4x = -5x 2x + -2(4 + -5x) + -1(x + 3) = 2 + 3(x + 2) + 7x 2x + (4 * -2 + -5x * -2) + -1(x + 3) = 2 + 3(x + 2) + 7x 2x + (-8 + 10x) + -1(x + 3) = 2 + 3(x + 2) + 7x Reorder the terms: 2x + -8 + 10x + -1(3 + x) = 2 + 3(x + 2) + 7x 2x + -8 + 10x + (3 * -1 + x * -1) = 2 + 3(x + 2) + 7x 2x + -8 + 10x + (-3 + -1x) = 2 + 3(x + 2) + 7x Reorder the terms: -8 + -3 + 2x + 10x + -1x = 2 + 3(x + 2) + 7x Combine like terms: -8 + -3 = -11 -11 + 2x + 10x + -1x = 2 + 3(x + 2) + 7x Combine like terms: 2x + 10x = 12x -11 + 12x + -1x = 2 + 3(x + 2) + 7x Combine like terms: 12x + -1x = 11x -11 + 11x = 2 + 3(x + 2) + 7x Reorder the terms: -11 + 11x = 2 + 3(2 + x) + 7x -11 + 11x = 2 + (2 * 3 + x * 3) + 7x -11 + 11x = 2 + (6 + 3x) + 7x Combine like terms: 2 + 6 = 8 -11 + 11x = 8 + 3x + 7x Combine like terms: 3x + 7x = 10x -11 + 11x = 8 + 10x Solving -11 + 11x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -11 + 11x + -10x = 8 + 10x + -10x Combine like terms: 11x + -10x = 1x -11 + 1x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -11 + 1x = 8 + 0 -11 + 1x = 8 Add '11' to each side of the equation. -11 + 11 + 1x = 8 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 8 + 11 1x = 8 + 11 Combine like terms: 8 + 11 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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