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Simplifying 5x + 5 = 9 + -1(4x + -6) Reorder the terms: 5 + 5x = 9 + -1(4x + -6) Reorder the terms: 5 + 5x = 9 + -1(-6 + 4x) 5 + 5x = 9 + (-6 * -1 + 4x * -1) 5 + 5x = 9 + (6 + -4x) Combine like terms: 9 + 6 = 15 5 + 5x = 15 + -4x Solving 5 + 5x = 15 + -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. 5 + 5x + 4x = 15 + -4x + 4x Combine like terms: 5x + 4x = 9x 5 + 9x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 9x = 15 + 0 5 + 9x = 15 Add '-5' to each side of the equation. 5 + -5 + 9x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 15 + -5 9x = 15 + -5 Combine like terms: 15 + -5 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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