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Simplifying 3 + (2x + 4) + -1(5x) + 9 = 5x + 8 + -1(10x) Reorder the terms: 3 + (4 + 2x) + -1(5x) + 9 = 5x + 8 + -1(10x) Remove parenthesis around (4 + 2x) 3 + 4 + 2x + -1(5x) + 9 = 5x + 8 + -1(10x) Remove parenthesis around (5x) 3 + 4 + 2x + -1 * 5x + 9 = 5x + 8 + -1(10x) Multiply -1 * 5 3 + 4 + 2x + -5x + 9 = 5x + 8 + -1(10x) Reorder the terms: 3 + 4 + 9 + 2x + -5x = 5x + 8 + -1(10x) Combine like terms: 3 + 4 = 7 7 + 9 + 2x + -5x = 5x + 8 + -1(10x) Combine like terms: 7 + 9 = 16 16 + 2x + -5x = 5x + 8 + -1(10x) Combine like terms: 2x + -5x = -3x 16 + -3x = 5x + 8 + -1(10x) Remove parenthesis around (10x) 16 + -3x = 5x + 8 + -1 * 10x Multiply -1 * 10 16 + -3x = 5x + 8 + -10x Reorder the terms: 16 + -3x = 8 + 5x + -10x Combine like terms: 5x + -10x = -5x 16 + -3x = 8 + -5x Solving 16 + -3x = 8 + -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. 16 + -3x + 5x = 8 + -5x + 5x Combine like terms: -3x + 5x = 2x 16 + 2x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 16 + 2x = 8 + 0 16 + 2x = 8 Add '-16' to each side of the equation. 16 + -16 + 2x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 8 + -16 2x = 8 + -16 Combine like terms: 8 + -16 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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