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Simplifying x + -8(3x + 4) = x + 5(4 + -5x) Reorder the terms: x + -8(4 + 3x) = x + 5(4 + -5x) x + (4 * -8 + 3x * -8) = x + 5(4 + -5x) x + (-32 + -24x) = x + 5(4 + -5x) Reorder the terms: -32 + x + -24x = x + 5(4 + -5x) Combine like terms: x + -24x = -23x -32 + -23x = x + 5(4 + -5x) -32 + -23x = x + (4 * 5 + -5x * 5) -32 + -23x = x + (20 + -25x) Reorder the terms: -32 + -23x = 20 + x + -25x Combine like terms: x + -25x = -24x -32 + -23x = 20 + -24x Solving -32 + -23x = 20 + -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. -32 + -23x + 24x = 20 + -24x + 24x Combine like terms: -23x + 24x = 1x -32 + 1x = 20 + -24x + 24x Combine like terms: -24x + 24x = 0 -32 + 1x = 20 + 0 -32 + 1x = 20 Add '32' to each side of the equation. -32 + 32 + 1x = 20 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = 20 + 32 1x = 20 + 32 Combine like terms: 20 + 32 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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