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Simplifying 5x + 8 = 7 + -1(9x + -4) Reorder the terms: 8 + 5x = 7 + -1(9x + -4) Reorder the terms: 8 + 5x = 7 + -1(-4 + 9x) 8 + 5x = 7 + (-4 * -1 + 9x * -1) 8 + 5x = 7 + (4 + -9x) Combine like terms: 7 + 4 = 11 8 + 5x = 11 + -9x Solving 8 + 5x = 11 + -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. 8 + 5x + 9x = 11 + -9x + 9x Combine like terms: 5x + 9x = 14x 8 + 14x = 11 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 14x = 11 + 0 8 + 14x = 11 Add '-8' to each side of the equation. 8 + -8 + 14x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 14x = 11 + -8 14x = 11 + -8 Combine like terms: 11 + -8 = 3 14x = 3 Divide each side by '14'. x = 0.2142857143 Simplifying x = 0.2142857143
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