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Simplifying 7x + -1(9x + -5) = 9 + -1(7x + -4) Reorder the terms: 7x + -1(-5 + 9x) = 9 + -1(7x + -4) 7x + (-5 * -1 + 9x * -1) = 9 + -1(7x + -4) 7x + (5 + -9x) = 9 + -1(7x + -4) Reorder the terms: 5 + 7x + -9x = 9 + -1(7x + -4) Combine like terms: 7x + -9x = -2x 5 + -2x = 9 + -1(7x + -4) Reorder the terms: 5 + -2x = 9 + -1(-4 + 7x) 5 + -2x = 9 + (-4 * -1 + 7x * -1) 5 + -2x = 9 + (4 + -7x) Combine like terms: 9 + 4 = 13 5 + -2x = 13 + -7x Solving 5 + -2x = 13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + -2x + 7x = 13 + -7x + 7x Combine like terms: -2x + 7x = 5x 5 + 5x = 13 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + 5x = 13 + 0 5 + 5x = 13 Add '-5' to each side of the equation. 5 + -5 + 5x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 13 + -5 5x = 13 + -5 Combine like terms: 13 + -5 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6
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