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Simplifying (2 + x) + -2(2 + -5x) = 8(3 + 4x) + 5 Remove parenthesis around (2 + x) 2 + x + -2(2 + -5x) = 8(3 + 4x) + 5 2 + x + (2 * -2 + -5x * -2) = 8(3 + 4x) + 5 2 + x + (-4 + 10x) = 8(3 + 4x) + 5 Reorder the terms: 2 + -4 + x + 10x = 8(3 + 4x) + 5 Combine like terms: 2 + -4 = -2 -2 + x + 10x = 8(3 + 4x) + 5 Combine like terms: x + 10x = 11x -2 + 11x = 8(3 + 4x) + 5 -2 + 11x = (3 * 8 + 4x * 8) + 5 -2 + 11x = (24 + 32x) + 5 Reorder the terms: -2 + 11x = 24 + 5 + 32x Combine like terms: 24 + 5 = 29 -2 + 11x = 29 + 32x Solving -2 + 11x = 29 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -2 + 11x + -32x = 29 + 32x + -32x Combine like terms: 11x + -32x = -21x -2 + -21x = 29 + 32x + -32x Combine like terms: 32x + -32x = 0 -2 + -21x = 29 + 0 -2 + -21x = 29 Add '2' to each side of the equation. -2 + 2 + -21x = 29 + 2 Combine like terms: -2 + 2 = 0 0 + -21x = 29 + 2 -21x = 29 + 2 Combine like terms: 29 + 2 = 31 -21x = 31 Divide each side by '-21'. x = -1.476190476 Simplifying x = -1.476190476
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