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Simplifying 23 + 8(3x + -7 + 2x) + -31 = 5x + -4(X + -1) + 2x + 6 Reorder the terms: 23 + 8(-7 + 3x + 2x) + -31 = 5x + -4(X + -1) + 2x + 6 Combine like terms: 3x + 2x = 5x 23 + 8(-7 + 5x) + -31 = 5x + -4(X + -1) + 2x + 6 23 + (-7 * 8 + 5x * 8) + -31 = 5x + -4(X + -1) + 2x + 6 23 + (-56 + 40x) + -31 = 5x + -4(X + -1) + 2x + 6 Reorder the terms: 23 + -56 + -31 + 40x = 5x + -4(X + -1) + 2x + 6 Combine like terms: 23 + -56 = -33 -33 + -31 + 40x = 5x + -4(X + -1) + 2x + 6 Combine like terms: -33 + -31 = -64 -64 + 40x = 5x + -4(X + -1) + 2x + 6 Reorder the terms: -64 + 40x = 5x + -4(-1 + X) + 2x + 6 -64 + 40x = 5x + (-1 * -4 + X * -4) + 2x + 6 -64 + 40x = 5x + (4 + -4X) + 2x + 6 Reorder the terms: -64 + 40x = 4 + 6 + -4X + 5x + 2x Combine like terms: 4 + 6 = 10 -64 + 40x = 10 + -4X + 5x + 2x Combine like terms: 5x + 2x = 7x -64 + 40x = 10 + -4X + 7x Solving -64 + 40x = 10 + -4X + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -64 + 40x + -7x = 10 + -4X + 7x + -7x Combine like terms: 40x + -7x = 33x -64 + 33x = 10 + -4X + 7x + -7x Combine like terms: 7x + -7x = 0 -64 + 33x = 10 + -4X + 0 -64 + 33x = 10 + -4X Add '64' to each side of the equation. -64 + 64 + 33x = 10 + 64 + -4X Combine like terms: -64 + 64 = 0 0 + 33x = 10 + 64 + -4X 33x = 10 + 64 + -4X Combine like terms: 10 + 64 = 74 33x = 74 + -4X Divide each side by '33'. x = 2.242424242 + -0.1212121212X Simplifying x = 2.242424242 + -0.1212121212X
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