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Simplifying 7x + 2 = 5 + -1(9x + -2) Reorder the terms: 2 + 7x = 5 + -1(9x + -2) Reorder the terms: 2 + 7x = 5 + -1(-2 + 9x) 2 + 7x = 5 + (-2 * -1 + 9x * -1) 2 + 7x = 5 + (2 + -9x) Combine like terms: 5 + 2 = 7 2 + 7x = 7 + -9x Solving 2 + 7x = 7 + -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. 2 + 7x + 9x = 7 + -9x + 9x Combine like terms: 7x + 9x = 16x 2 + 16x = 7 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 16x = 7 + 0 2 + 16x = 7 Add '-2' to each side of the equation. 2 + -2 + 16x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 16x = 7 + -2 16x = 7 + -2 Combine like terms: 7 + -2 = 5 16x = 5 Divide each side by '16'. x = 0.3125 Simplifying x = 0.3125
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