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Simplifying 7(2 + 5x) + 5 = 8(2 + 4x) (2 * 7 + 5x * 7) + 5 = 8(2 + 4x) (14 + 35x) + 5 = 8(2 + 4x) Reorder the terms: 14 + 5 + 35x = 8(2 + 4x) Combine like terms: 14 + 5 = 19 19 + 35x = 8(2 + 4x) 19 + 35x = (2 * 8 + 4x * 8) 19 + 35x = (16 + 32x) Solving 19 + 35x = 16 + 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. 19 + 35x + -32x = 16 + 32x + -32x Combine like terms: 35x + -32x = 3x 19 + 3x = 16 + 32x + -32x Combine like terms: 32x + -32x = 0 19 + 3x = 16 + 0 19 + 3x = 16 Add '-19' to each side of the equation. 19 + -19 + 3x = 16 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 16 + -19 3x = 16 + -19 Combine like terms: 16 + -19 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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