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Simplifying 5x + -1[3x + -1(7 + 2x) + 4] = 0 5x + -1[3x + (7 * -1 + 2x * -1) + 4] = 0 5x + -1[3x + (-7 + -2x) + 4] = 0 Reorder the terms: 5x + -1[-7 + 4 + 3x + -2x] = 0 Combine like terms: -7 + 4 = -3 5x + -1[-3 + 3x + -2x] = 0 Combine like terms: 3x + -2x = 1x 5x + -1[-3 + 1x] = 0 5x + [-3 * -1 + 1x * -1] = 0 5x + [3 + -1x] = 0 Reorder the terms: 3 + 5x + -1x = 0 Combine like terms: 5x + -1x = 4x 3 + 4x = 0 Solving 3 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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