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Simplifying 3(5x + 3) + -25 = 12x + 2 Reorder the terms: 3(3 + 5x) + -25 = 12x + 2 (3 * 3 + 5x * 3) + -25 = 12x + 2 (9 + 15x) + -25 = 12x + 2 Reorder the terms: 9 + -25 + 15x = 12x + 2 Combine like terms: 9 + -25 = -16 -16 + 15x = 12x + 2 Reorder the terms: -16 + 15x = 2 + 12x Solving -16 + 15x = 2 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -16 + 15x + -12x = 2 + 12x + -12x Combine like terms: 15x + -12x = 3x -16 + 3x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + 3x = 2 + 0 -16 + 3x = 2 Add '16' to each side of the equation. -16 + 16 + 3x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 2 + 16 3x = 2 + 16 Combine like terms: 2 + 16 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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