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Simplifying 6x + -2(5x + 1) = 2(2x + 1) + -8 Reorder the terms: 6x + -2(1 + 5x) = 2(2x + 1) + -8 6x + (1 * -2 + 5x * -2) = 2(2x + 1) + -8 6x + (-2 + -10x) = 2(2x + 1) + -8 Reorder the terms: -2 + 6x + -10x = 2(2x + 1) + -8 Combine like terms: 6x + -10x = -4x -2 + -4x = 2(2x + 1) + -8 Reorder the terms: -2 + -4x = 2(1 + 2x) + -8 -2 + -4x = (1 * 2 + 2x * 2) + -8 -2 + -4x = (2 + 4x) + -8 Reorder the terms: -2 + -4x = 2 + -8 + 4x Combine like terms: 2 + -8 = -6 -2 + -4x = -6 + 4x Solving -2 + -4x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -4x + -4x = -6 + 4x + -4x Combine like terms: -4x + -4x = -8x -2 + -8x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -8x = -6 + 0 -2 + -8x = -6 Add '2' to each side of the equation. -2 + 2 + -8x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -6 + 2 -8x = -6 + 2 Combine like terms: -6 + 2 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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