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Simplifying 4x + 4 = 9 + -1(9x + -7) Reorder the terms: 4 + 4x = 9 + -1(9x + -7) Reorder the terms: 4 + 4x = 9 + -1(-7 + 9x) 4 + 4x = 9 + (-7 * -1 + 9x * -1) 4 + 4x = 9 + (7 + -9x) Combine like terms: 9 + 7 = 16 4 + 4x = 16 + -9x Solving 4 + 4x = 16 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 4 + 4x + 9x = 16 + -9x + 9x Combine like terms: 4x + 9x = 13x 4 + 13x = 16 + -9x + 9x Combine like terms: -9x + 9x = 0 4 + 13x = 16 + 0 4 + 13x = 16 Add '-4' to each side of the equation. 4 + -4 + 13x = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 16 + -4 13x = 16 + -4 Combine like terms: 16 + -4 = 12 13x = 12 Divide each side by '13'. x = 0.9230769231 Simplifying x = 0.9230769231
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