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Simplifying 2(2 + -3x) + (7x + -1) = 5(x + 3) (2 * 2 + -3x * 2) + (7x + -1) = 5(x + 3) (4 + -6x) + (7x + -1) = 5(x + 3) Reorder the terms: 4 + -6x + (-1 + 7x) = 5(x + 3) Remove parenthesis around (-1 + 7x) 4 + -6x + -1 + 7x = 5(x + 3) Reorder the terms: 4 + -1 + -6x + 7x = 5(x + 3) Combine like terms: 4 + -1 = 3 3 + -6x + 7x = 5(x + 3) Combine like terms: -6x + 7x = 1x 3 + 1x = 5(x + 3) Reorder the terms: 3 + 1x = 5(3 + x) 3 + 1x = (3 * 5 + x * 5) 3 + 1x = (15 + 5x) Solving 3 + 1x = 15 + 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. 3 + 1x + -5x = 15 + 5x + -5x Combine like terms: 1x + -5x = -4x 3 + -4x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -4x = 15 + 0 3 + -4x = 15 Add '-3' to each side of the equation. 3 + -3 + -4x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 15 + -3 -4x = 15 + -3 Combine like terms: 15 + -3 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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