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Simplifying (2x + 1) * 2 + -1(5x + -2) * 2 = 0 Reorder the terms: (1 + 2x) * 2 + -1(5x + -2) * 2 = 0 Reorder the terms for easier multiplication: 2(1 + 2x) + -1(5x + -2) * 2 = 0 (1 * 2 + 2x * 2) + -1(5x + -2) * 2 = 0 (2 + 4x) + -1(5x + -2) * 2 = 0 Reorder the terms: 2 + 4x + -1(-2 + 5x) * 2 = 0 Reorder the terms for easier multiplication: 2 + 4x + -1 * 2(-2 + 5x) = 0 Multiply -1 * 2 2 + 4x + -2(-2 + 5x) = 0 2 + 4x + (-2 * -2 + 5x * -2) = 0 2 + 4x + (4 + -10x) = 0 Reorder the terms: 2 + 4 + 4x + -10x = 0 Combine like terms: 2 + 4 = 6 6 + 4x + -10x = 0 Combine like terms: 4x + -10x = -6x 6 + -6x = 0 Solving 6 + -6x = 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 + -6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 0 + -6 -6x = 0 + -6 Combine like terms: 0 + -6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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