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Simplifying 1 + -4x + 12 = 8x + -32 + x Reorder the terms: 1 + 12 + -4x = 8x + -32 + x Combine like terms: 1 + 12 = 13 13 + -4x = 8x + -32 + x Reorder the terms: 13 + -4x = -32 + 8x + x Combine like terms: 8x + x = 9x 13 + -4x = -32 + 9x Solving 13 + -4x = -32 + 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. 13 + -4x + -9x = -32 + 9x + -9x Combine like terms: -4x + -9x = -13x 13 + -13x = -32 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -13x = -32 + 0 13 + -13x = -32 Add '-13' to each side of the equation. 13 + -13 + -13x = -32 + -13 Combine like terms: 13 + -13 = 0 0 + -13x = -32 + -13 -13x = -32 + -13 Combine like terms: -32 + -13 = -45 -13x = -45 Divide each side by '-13'. x = 3.461538462 Simplifying x = 3.461538462
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