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Simplifying 4x + -13 + -5 = -12x + 9 + 8x Reorder the terms: -13 + -5 + 4x = -12x + 9 + 8x Combine like terms: -13 + -5 = -18 -18 + 4x = -12x + 9 + 8x Reorder the terms: -18 + 4x = 9 + -12x + 8x Combine like terms: -12x + 8x = -4x -18 + 4x = 9 + -4x Solving -18 + 4x = 9 + -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. -18 + 4x + 4x = 9 + -4x + 4x Combine like terms: 4x + 4x = 8x -18 + 8x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 8x = 9 + 0 -18 + 8x = 9 Add '18' to each side of the equation. -18 + 18 + 8x = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 9 + 18 8x = 9 + 18 Combine like terms: 9 + 18 = 27 8x = 27 Divide each side by '8'. x = 3.375 Simplifying x = 3.375
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