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Simplifying -5(1 + -5x) + 4(6x + 1) = -4x + -8x (1 * -5 + -5x * -5) + 4(6x + 1) = -4x + -8x (-5 + 25x) + 4(6x + 1) = -4x + -8x Reorder the terms: -5 + 25x + 4(1 + 6x) = -4x + -8x -5 + 25x + (1 * 4 + 6x * 4) = -4x + -8x -5 + 25x + (4 + 24x) = -4x + -8x Reorder the terms: -5 + 4 + 25x + 24x = -4x + -8x Combine like terms: -5 + 4 = -1 -1 + 25x + 24x = -4x + -8x Combine like terms: 25x + 24x = 49x -1 + 49x = -4x + -8x Combine like terms: -4x + -8x = -12x -1 + 49x = -12x Solving -1 + 49x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -1 + 49x + 12x = -12x + 12x Combine like terms: 49x + 12x = 61x -1 + 61x = -12x + 12x Combine like terms: -12x + 12x = 0 -1 + 61x = 0 Add '1' to each side of the equation. -1 + 1 + 61x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 61x = 0 + 1 61x = 0 + 1 Combine like terms: 0 + 1 = 1 61x = 1 Divide each side by '61'. x = 0.01639344262 Simplifying x = 0.01639344262
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