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Simplifying 2(5x + 1) + -2x = 2 + -2(3x + 1) Reorder the terms: 2(1 + 5x) + -2x = 2 + -2(3x + 1) (1 * 2 + 5x * 2) + -2x = 2 + -2(3x + 1) (2 + 10x) + -2x = 2 + -2(3x + 1) Combine like terms: 10x + -2x = 8x 2 + 8x = 2 + -2(3x + 1) Reorder the terms: 2 + 8x = 2 + -2(1 + 3x) 2 + 8x = 2 + (1 * -2 + 3x * -2) 2 + 8x = 2 + (-2 + -6x) Combine like terms: 2 + -2 = 0 2 + 8x = 0 + -6x 2 + 8x = -6x Solving 2 + 8x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + 8x + 6x = -6x + 6x Combine like terms: 8x + 6x = 14x 2 + 14x = -6x + 6x Combine like terms: -6x + 6x = 0 2 + 14x = 0 Add '-2' to each side of the equation. 2 + -2 + 14x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 0 + -2 14x = 0 + -2 Combine like terms: 0 + -2 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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