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Simplifying [3x + 5] + [-4x + 1] = 0 Reorder the terms: [5 + 3x] + [-4x + 1] = 0 Remove brackets around [5 + 3x] 5 + 3x + [-4x + 1] = 0 Reorder the terms: 5 + 3x + [1 + -4x] = 0 Remove brackets around [1 + -4x] 5 + 3x + 1 + -4x = 0 Reorder the terms: 5 + 1 + 3x + -4x = 0 Combine like terms: 5 + 1 = 6 6 + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x 6 + -1x = 0 Solving 6 + -1x = 0 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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