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Simplifying (2x + -25) + -3x + [8x + 5(6 + -1x)] = 7 Reorder the terms: (-25 + 2x) + -3x + [8x + 5(6 + -1x)] = 7 Remove parenthesis around (-25 + 2x) -25 + 2x + -3x + [8x + 5(6 + -1x)] = 7 -25 + 2x + -3x + [8x + (6 * 5 + -1x * 5)] = 7 -25 + 2x + -3x + [8x + (30 + -5x)] = 7 Reorder the terms: -25 + 2x + -3x + [30 + 8x + -5x] = 7 Combine like terms: 8x + -5x = 3x -25 + 2x + -3x + [30 + 3x] = 7 Remove brackets around [30 + 3x] -25 + 2x + -3x + 30 + 3x = 7 Reorder the terms: -25 + 30 + 2x + -3x + 3x = 7 Combine like terms: -25 + 30 = 5 5 + 2x + -3x + 3x = 7 Combine like terms: 2x + -3x = -1x 5 + -1x + 3x = 7 Combine like terms: -1x + 3x = 2x 5 + 2x = 7 Solving 5 + 2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 7 + -5 2x = 7 + -5 Combine like terms: 7 + -5 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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