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Simplifying 7(x + 6) = (x + -7) + x Reorder the terms: 7(6 + x) = (x + -7) + x (6 * 7 + x * 7) = (x + -7) + x (42 + 7x) = (x + -7) + x Reorder the terms: 42 + 7x = (-7 + x) + x Remove parenthesis around (-7 + x) 42 + 7x = -7 + x + x Combine like terms: x + x = 2x 42 + 7x = -7 + 2x Solving 42 + 7x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + 7x + -2x = -7 + 2x + -2x Combine like terms: 7x + -2x = 5x 42 + 5x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + 5x = -7 + 0 42 + 5x = -7 Add '-42' to each side of the equation. 42 + -42 + 5x = -7 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = -7 + -42 5x = -7 + -42 Combine like terms: -7 + -42 = -49 5x = -49 Divide each side by '5'. x = -9.8 Simplifying x = -9.8
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