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Simplifying 5x + -8(5x + 8) = 8x + -4(x + 9) Reorder the terms: 5x + -8(8 + 5x) = 8x + -4(x + 9) 5x + (8 * -8 + 5x * -8) = 8x + -4(x + 9) 5x + (-64 + -40x) = 8x + -4(x + 9) Reorder the terms: -64 + 5x + -40x = 8x + -4(x + 9) Combine like terms: 5x + -40x = -35x -64 + -35x = 8x + -4(x + 9) Reorder the terms: -64 + -35x = 8x + -4(9 + x) -64 + -35x = 8x + (9 * -4 + x * -4) -64 + -35x = 8x + (-36 + -4x) Reorder the terms: -64 + -35x = -36 + 8x + -4x Combine like terms: 8x + -4x = 4x -64 + -35x = -36 + 4x Solving -64 + -35x = -36 + 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. -64 + -35x + -4x = -36 + 4x + -4x Combine like terms: -35x + -4x = -39x -64 + -39x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -64 + -39x = -36 + 0 -64 + -39x = -36 Add '64' to each side of the equation. -64 + 64 + -39x = -36 + 64 Combine like terms: -64 + 64 = 0 0 + -39x = -36 + 64 -39x = -36 + 64 Combine like terms: -36 + 64 = 28 -39x = 28 Divide each side by '-39'. x = -0.7179487179 Simplifying x = -0.7179487179
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