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Simplifying 7(x + 3) + -1 + 2x = 2 + -1(3 + -5x) Reorder the terms: 7(3 + x) + -1 + 2x = 2 + -1(3 + -5x) (3 * 7 + x * 7) + -1 + 2x = 2 + -1(3 + -5x) (21 + 7x) + -1 + 2x = 2 + -1(3 + -5x) Reorder the terms: 21 + -1 + 7x + 2x = 2 + -1(3 + -5x) Combine like terms: 21 + -1 = 20 20 + 7x + 2x = 2 + -1(3 + -5x) Combine like terms: 7x + 2x = 9x 20 + 9x = 2 + -1(3 + -5x) 20 + 9x = 2 + (3 * -1 + -5x * -1) 20 + 9x = 2 + (-3 + 5x) Combine like terms: 2 + -3 = -1 20 + 9x = -1 + 5x Solving 20 + 9x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 9x + -5x = -1 + 5x + -5x Combine like terms: 9x + -5x = 4x 20 + 4x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 4x = -1 + 0 20 + 4x = -1 Add '-20' to each side of the equation. 20 + -20 + 4x = -1 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = -1 + -20 4x = -1 + -20 Combine like terms: -1 + -20 = -21 4x = -21 Divide each side by '4'. x = -5.25 Simplifying x = -5.25
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