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Simplifying [(3x + -2) + (5x + -7x)] + -4 = 0 Reorder the terms: [(-2 + 3x) + (5x + -7x)] + -4 = 0 Remove parenthesis around (-2 + 3x) [-2 + 3x + (5x + -7x)] + -4 = 0 Combine like terms: 5x + -7x = -2x [-2 + 3x + (-2x)] + -4 = 0 [-2 + 3x + (-2x)] + -4 = 0 Combine like terms: 3x + (-2x) = 1x [-2 + 1x] + -4 = 0 Remove brackets around [-2 + 1x] -2 + 1x + -4 = 0 Reorder the terms: -2 + -4 + 1x = 0 Combine like terms: -2 + -4 = -6 -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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