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Simplifying 6(10x + 7) + -12x = -8x + 6(1 + 9x) Reorder the terms: 6(7 + 10x) + -12x = -8x + 6(1 + 9x) (7 * 6 + 10x * 6) + -12x = -8x + 6(1 + 9x) (42 + 60x) + -12x = -8x + 6(1 + 9x) Combine like terms: 60x + -12x = 48x 42 + 48x = -8x + 6(1 + 9x) 42 + 48x = -8x + (1 * 6 + 9x * 6) 42 + 48x = -8x + (6 + 54x) Reorder the terms: 42 + 48x = 6 + -8x + 54x Combine like terms: -8x + 54x = 46x 42 + 48x = 6 + 46x Solving 42 + 48x = 6 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 42 + 48x + -46x = 6 + 46x + -46x Combine like terms: 48x + -46x = 2x 42 + 2x = 6 + 46x + -46x Combine like terms: 46x + -46x = 0 42 + 2x = 6 + 0 42 + 2x = 6 Add '-42' to each side of the equation. 42 + -42 + 2x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 6 + -42 2x = 6 + -42 Combine like terms: 6 + -42 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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