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Simplifying 8x + 4(4x + -3) = -5(1 + 5x) Reorder the terms: 8x + 4(-3 + 4x) = -5(1 + 5x) 8x + (-3 * 4 + 4x * 4) = -5(1 + 5x) 8x + (-12 + 16x) = -5(1 + 5x) Reorder the terms: -12 + 8x + 16x = -5(1 + 5x) Combine like terms: 8x + 16x = 24x -12 + 24x = -5(1 + 5x) -12 + 24x = (1 * -5 + 5x * -5) -12 + 24x = (-5 + -25x) Solving -12 + 24x = -5 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -12 + 24x + 25x = -5 + -25x + 25x Combine like terms: 24x + 25x = 49x -12 + 49x = -5 + -25x + 25x Combine like terms: -25x + 25x = 0 -12 + 49x = -5 + 0 -12 + 49x = -5 Add '12' to each side of the equation. -12 + 12 + 49x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 49x = -5 + 12 49x = -5 + 12 Combine like terms: -5 + 12 = 7 49x = 7 Divide each side by '49'. x = 0.1428571429 Simplifying x = 0.1428571429
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