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Simplifying (3x + 2) + -25 + 9x = 3(9 + -2x) + -5(8x + 4) Reorder the terms: (2 + 3x) + -25 + 9x = 3(9 + -2x) + -5(8x + 4) Remove parenthesis around (2 + 3x) 2 + 3x + -25 + 9x = 3(9 + -2x) + -5(8x + 4) Reorder the terms: 2 + -25 + 3x + 9x = 3(9 + -2x) + -5(8x + 4) Combine like terms: 2 + -25 = -23 -23 + 3x + 9x = 3(9 + -2x) + -5(8x + 4) Combine like terms: 3x + 9x = 12x -23 + 12x = 3(9 + -2x) + -5(8x + 4) -23 + 12x = (9 * 3 + -2x * 3) + -5(8x + 4) -23 + 12x = (27 + -6x) + -5(8x + 4) Reorder the terms: -23 + 12x = 27 + -6x + -5(4 + 8x) -23 + 12x = 27 + -6x + (4 * -5 + 8x * -5) -23 + 12x = 27 + -6x + (-20 + -40x) Reorder the terms: -23 + 12x = 27 + -20 + -6x + -40x Combine like terms: 27 + -20 = 7 -23 + 12x = 7 + -6x + -40x Combine like terms: -6x + -40x = -46x -23 + 12x = 7 + -46x Solving -23 + 12x = 7 + -46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46x' to each side of the equation. -23 + 12x + 46x = 7 + -46x + 46x Combine like terms: 12x + 46x = 58x -23 + 58x = 7 + -46x + 46x Combine like terms: -46x + 46x = 0 -23 + 58x = 7 + 0 -23 + 58x = 7 Add '23' to each side of the equation. -23 + 23 + 58x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 58x = 7 + 23 58x = 7 + 23 Combine like terms: 7 + 23 = 30 58x = 30 Divide each side by '58'. x = 0.5172413793 Simplifying x = 0.5172413793
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