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Simplifying (2x + -1) * 2 + -5(2x + -1) + 4 = 0 Reorder the terms: (-1 + 2x) * 2 + -5(2x + -1) + 4 = 0 Reorder the terms for easier multiplication: 2(-1 + 2x) + -5(2x + -1) + 4 = 0 (-1 * 2 + 2x * 2) + -5(2x + -1) + 4 = 0 (-2 + 4x) + -5(2x + -1) + 4 = 0 Reorder the terms: -2 + 4x + -5(-1 + 2x) + 4 = 0 -2 + 4x + (-1 * -5 + 2x * -5) + 4 = 0 -2 + 4x + (5 + -10x) + 4 = 0 Reorder the terms: -2 + 5 + 4 + 4x + -10x = 0 Combine like terms: -2 + 5 = 3 3 + 4 + 4x + -10x = 0 Combine like terms: 3 + 4 = 7 7 + 4x + -10x = 0 Combine like terms: 4x + -10x = -6x 7 + -6x = 0 Solving 7 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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