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Simplifying 5 + -1(2x + -1) = 9 + -1(2 + 3x) Reorder the terms: 5 + -1(-1 + 2x) = 9 + -1(2 + 3x) 5 + (-1 * -1 + 2x * -1) = 9 + -1(2 + 3x) 5 + (1 + -2x) = 9 + -1(2 + 3x) Combine like terms: 5 + 1 = 6 6 + -2x = 9 + -1(2 + 3x) 6 + -2x = 9 + (2 * -1 + 3x * -1) 6 + -2x = 9 + (-2 + -3x) Combine like terms: 9 + -2 = 7 6 + -2x = 7 + -3x Solving 6 + -2x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -2x + 3x = 7 + -3x + 3x Combine like terms: -2x + 3x = 1x 6 + 1x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 1x = 7 + 0 6 + 1x = 7 Add '-6' to each side of the equation. 6 + -6 + 1x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 7 + -6 1x = 7 + -6 Combine like terms: 7 + -6 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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