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Simplifying 7(x + 6) + -6x = 6(x + 10) Reorder the terms: 7(6 + x) + -6x = 6(x + 10) (6 * 7 + x * 7) + -6x = 6(x + 10) (42 + 7x) + -6x = 6(x + 10) Combine like terms: 7x + -6x = 1x 42 + 1x = 6(x + 10) Reorder the terms: 42 + 1x = 6(10 + x) 42 + 1x = (10 * 6 + x * 6) 42 + 1x = (60 + 6x) Solving 42 + 1x = 60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 42 + 1x + -6x = 60 + 6x + -6x Combine like terms: 1x + -6x = -5x 42 + -5x = 60 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -5x = 60 + 0 42 + -5x = 60 Add '-42' to each side of the equation. 42 + -42 + -5x = 60 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 60 + -42 -5x = 60 + -42 Combine like terms: 60 + -42 = 18 -5x = 18 Divide each side by '-5'. x = -3.6 Simplifying x = -3.6
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