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Simplifying 10(5 + -5x) + -12 = 6(1 + -9x) (5 * 10 + -5x * 10) + -12 = 6(1 + -9x) (50 + -50x) + -12 = 6(1 + -9x) Reorder the terms: 50 + -12 + -50x = 6(1 + -9x) Combine like terms: 50 + -12 = 38 38 + -50x = 6(1 + -9x) 38 + -50x = (1 * 6 + -9x * 6) 38 + -50x = (6 + -54x) Solving 38 + -50x = 6 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 38 + -50x + 54x = 6 + -54x + 54x Combine like terms: -50x + 54x = 4x 38 + 4x = 6 + -54x + 54x Combine like terms: -54x + 54x = 0 38 + 4x = 6 + 0 38 + 4x = 6 Add '-38' to each side of the equation. 38 + -38 + 4x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 6 + -38 4x = 6 + -38 Combine like terms: 6 + -38 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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