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Simplifying 7x + 8 = 7 + -1(4x + -7) Reorder the terms: 8 + 7x = 7 + -1(4x + -7) Reorder the terms: 8 + 7x = 7 + -1(-7 + 4x) 8 + 7x = 7 + (-7 * -1 + 4x * -1) 8 + 7x = 7 + (7 + -4x) Combine like terms: 7 + 7 = 14 8 + 7x = 14 + -4x Solving 8 + 7x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 7x + 4x = 14 + -4x + 4x Combine like terms: 7x + 4x = 11x 8 + 11x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 11x = 14 + 0 8 + 11x = 14 Add '-8' to each side of the equation. 8 + -8 + 11x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 14 + -8 11x = 14 + -8 Combine like terms: 14 + -8 = 6 11x = 6 Divide each side by '11'. x = 0.5454545455 Simplifying x = 0.5454545455
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