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Simplifying x + 4(x + -8) = 3x + 6(x + 8) Reorder the terms: x + 4(-8 + x) = 3x + 6(x + 8) x + (-8 * 4 + x * 4) = 3x + 6(x + 8) x + (-32 + 4x) = 3x + 6(x + 8) Reorder the terms: -32 + x + 4x = 3x + 6(x + 8) Combine like terms: x + 4x = 5x -32 + 5x = 3x + 6(x + 8) Reorder the terms: -32 + 5x = 3x + 6(8 + x) -32 + 5x = 3x + (8 * 6 + x * 6) -32 + 5x = 3x + (48 + 6x) Reorder the terms: -32 + 5x = 48 + 3x + 6x Combine like terms: 3x + 6x = 9x -32 + 5x = 48 + 9x Solving -32 + 5x = 48 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -32 + 5x + -9x = 48 + 9x + -9x Combine like terms: 5x + -9x = -4x -32 + -4x = 48 + 9x + -9x Combine like terms: 9x + -9x = 0 -32 + -4x = 48 + 0 -32 + -4x = 48 Add '32' to each side of the equation. -32 + 32 + -4x = 48 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = 48 + 32 -4x = 48 + 32 Combine like terms: 48 + 32 = 80 -4x = 80 Divide each side by '-4'. x = -20 Simplifying x = -20
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