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Simplifying (x + 3) + -2(2 + -3x) = 5(x + 4) + -1 Reorder the terms: (3 + x) + -2(2 + -3x) = 5(x + 4) + -1 Remove parenthesis around (3 + x) 3 + x + -2(2 + -3x) = 5(x + 4) + -1 3 + x + (2 * -2 + -3x * -2) = 5(x + 4) + -1 3 + x + (-4 + 6x) = 5(x + 4) + -1 Reorder the terms: 3 + -4 + x + 6x = 5(x + 4) + -1 Combine like terms: 3 + -4 = -1 -1 + x + 6x = 5(x + 4) + -1 Combine like terms: x + 6x = 7x -1 + 7x = 5(x + 4) + -1 Reorder the terms: -1 + 7x = 5(4 + x) + -1 -1 + 7x = (4 * 5 + x * 5) + -1 -1 + 7x = (20 + 5x) + -1 Reorder the terms: -1 + 7x = 20 + -1 + 5x Combine like terms: 20 + -1 = 19 -1 + 7x = 19 + 5x Solving -1 + 7x = 19 + 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. -1 + 7x + -5x = 19 + 5x + -5x Combine like terms: 7x + -5x = 2x -1 + 2x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 2x = 19 + 0 -1 + 2x = 19 Add '1' to each side of the equation. -1 + 1 + 2x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 19 + 1 2x = 19 + 1 Combine like terms: 19 + 1 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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