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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 = 4 4 + -2x = 9 + -1(2 + 3x) 4 + -2x = 9 + (2 * -1 + 3x * -1) 4 + -2x = 9 + (-2 + -3x) Combine like terms: 9 + -2 = 7 4 + -2x = 7 + -3x Solving 4 + -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. 4 + -2x + 3x = 7 + -3x + 3x Combine like terms: -2x + 3x = 1x 4 + 1x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 1x = 7 + 0 4 + 1x = 7 Add '-4' to each side of the equation. 4 + -4 + 1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 7 + -4 1x = 7 + -4 Combine like terms: 7 + -4 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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