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Simplifying 4x + 4 + -2(x + 1) = 8x + 1 Reorder the terms: 4x + 4 + -2(1 + x) = 8x + 1 4x + 4 + (1 * -2 + x * -2) = 8x + 1 4x + 4 + (-2 + -2x) = 8x + 1 Reorder the terms: 4 + -2 + 4x + -2x = 8x + 1 Combine like terms: 4 + -2 = 2 2 + 4x + -2x = 8x + 1 Combine like terms: 4x + -2x = 2x 2 + 2x = 8x + 1 Reorder the terms: 2 + 2x = 1 + 8x Solving 2 + 2x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 2x + -8x = 1 + 8x + -8x Combine like terms: 2x + -8x = -6x 2 + -6x = 1 + 8x + -8x Combine like terms: 8x + -8x = 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 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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