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Simplifying -1(x + 1) = 4(-2 + 4x) + 8x Reorder the terms: -1(1 + x) = 4(-2 + 4x) + 8x (1 * -1 + x * -1) = 4(-2 + 4x) + 8x (-1 + -1x) = 4(-2 + 4x) + 8x -1 + -1x = (-2 * 4 + 4x * 4) + 8x -1 + -1x = (-8 + 16x) + 8x Combine like terms: 16x + 8x = 24x -1 + -1x = -8 + 24x Solving -1 + -1x = -8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -1 + -1x + -24x = -8 + 24x + -24x Combine like terms: -1x + -24x = -25x -1 + -25x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 -1 + -25x = -8 + 0 -1 + -25x = -8 Add '1' to each side of the equation. -1 + 1 + -25x = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -25x = -8 + 1 -25x = -8 + 1 Combine like terms: -8 + 1 = -7 -25x = -7 Divide each side by '-25'. x = 0.28 Simplifying x = 0.28
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