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Simplifying (x + 5) + -2(3 + -3x) = 4(x + 5) + -3 Reorder the terms: (5 + x) + -2(3 + -3x) = 4(x + 5) + -3 Remove parenthesis around (5 + x) 5 + x + -2(3 + -3x) = 4(x + 5) + -3 5 + x + (3 * -2 + -3x * -2) = 4(x + 5) + -3 5 + x + (-6 + 6x) = 4(x + 5) + -3 Reorder the terms: 5 + -6 + x + 6x = 4(x + 5) + -3 Combine like terms: 5 + -6 = -1 -1 + x + 6x = 4(x + 5) + -3 Combine like terms: x + 6x = 7x -1 + 7x = 4(x + 5) + -3 Reorder the terms: -1 + 7x = 4(5 + x) + -3 -1 + 7x = (5 * 4 + x * 4) + -3 -1 + 7x = (20 + 4x) + -3 Reorder the terms: -1 + 7x = 20 + -3 + 4x Combine like terms: 20 + -3 = 17 -1 + 7x = 17 + 4x Solving -1 + 7x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 7x + -4x = 17 + 4x + -4x Combine like terms: 7x + -4x = 3x -1 + 3x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 3x = 17 + 0 -1 + 3x = 17 Add '1' to each side of the equation. -1 + 1 + 3x = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 17 + 1 3x = 17 + 1 Combine like terms: 17 + 1 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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