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Simplifying (2x + 1) * 2 = 10x + -1 Reorder the terms: (1 + 2x) * 2 = 10x + -1 Reorder the terms for easier multiplication: 2(1 + 2x) = 10x + -1 (1 * 2 + 2x * 2) = 10x + -1 (2 + 4x) = 10x + -1 Reorder the terms: 2 + 4x = -1 + 10x Solving 2 + 4x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 2 + 4x + -10x = -1 + 10x + -10x Combine like terms: 4x + -10x = -6x 2 + -6x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -6x = -1 + 0 2 + -6x = -1 Add '-2' to each side of the equation. 2 + -2 + -6x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = -1 + -2 -6x = -1 + -2 Combine like terms: -1 + -2 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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