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Simplifying 12 + 6(7x + 5) = 22 + -10(4 + -5x) Reorder the terms: 12 + 6(5 + 7x) = 22 + -10(4 + -5x) 12 + (5 * 6 + 7x * 6) = 22 + -10(4 + -5x) 12 + (30 + 42x) = 22 + -10(4 + -5x) Combine like terms: 12 + 30 = 42 42 + 42x = 22 + -10(4 + -5x) 42 + 42x = 22 + (4 * -10 + -5x * -10) 42 + 42x = 22 + (-40 + 50x) Combine like terms: 22 + -40 = -18 42 + 42x = -18 + 50x Solving 42 + 42x = -18 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 42 + 42x + -50x = -18 + 50x + -50x Combine like terms: 42x + -50x = -8x 42 + -8x = -18 + 50x + -50x Combine like terms: 50x + -50x = 0 42 + -8x = -18 + 0 42 + -8x = -18 Add '-42' to each side of the equation. 42 + -42 + -8x = -18 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = -18 + -42 -8x = -18 + -42 Combine like terms: -18 + -42 = -60 -8x = -60 Divide each side by '-8'. x = 7.5 Simplifying x = 7.5
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