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Simplifying (7x + 6) * 3 + 4x = 8x + -2(9x + -5) Reorder the terms: (6 + 7x) * 3 + 4x = 8x + -2(9x + -5) Reorder the terms for easier multiplication: 3(6 + 7x) + 4x = 8x + -2(9x + -5) (6 * 3 + 7x * 3) + 4x = 8x + -2(9x + -5) (18 + 21x) + 4x = 8x + -2(9x + -5) Combine like terms: 21x + 4x = 25x 18 + 25x = 8x + -2(9x + -5) Reorder the terms: 18 + 25x = 8x + -2(-5 + 9x) 18 + 25x = 8x + (-5 * -2 + 9x * -2) 18 + 25x = 8x + (10 + -18x) Reorder the terms: 18 + 25x = 10 + 8x + -18x Combine like terms: 8x + -18x = -10x 18 + 25x = 10 + -10x Solving 18 + 25x = 10 + -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. 18 + 25x + 10x = 10 + -10x + 10x Combine like terms: 25x + 10x = 35x 18 + 35x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 18 + 35x = 10 + 0 18 + 35x = 10 Add '-18' to each side of the equation. 18 + -18 + 35x = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 35x = 10 + -18 35x = 10 + -18 Combine like terms: 10 + -18 = -8 35x = -8 Divide each side by '35'. x = -0.2285714286 Simplifying x = -0.2285714286
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