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Simplifying 5x + [5x + -1(6 + -3x)] = 7 5x + [5x + (6 * -1 + -3x * -1)] = 7 5x + [5x + (-6 + 3x)] = 7 Reorder the terms: 5x + [-6 + 5x + 3x] = 7 Combine like terms: 5x + 3x = 8x 5x + [-6 + 8x] = 7 Remove brackets around [-6 + 8x] 5x + -6 + 8x = 7 Reorder the terms: -6 + 5x + 8x = 7 Combine like terms: 5x + 8x = 13x -6 + 13x = 7 Solving -6 + 13x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 13x = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 7 + 6 13x = 7 + 6 Combine like terms: 7 + 6 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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