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Simplifying 9x + 5 = 6 + -1(4x + -7) Reorder the terms: 5 + 9x = 6 + -1(4x + -7) Reorder the terms: 5 + 9x = 6 + -1(-7 + 4x) 5 + 9x = 6 + (-7 * -1 + 4x * -1) 5 + 9x = 6 + (7 + -4x) Combine like terms: 6 + 7 = 13 5 + 9x = 13 + -4x Solving 5 + 9x = 13 + -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 + 9x + 4x = 13 + -4x + 4x Combine like terms: 9x + 4x = 13x 5 + 13x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 13x = 13 + 0 5 + 13x = 13 Add '-5' to each side of the equation. 5 + -5 + 13x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 13x = 13 + -5 13x = 13 + -5 Combine like terms: 13 + -5 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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