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Simplifying 12x + -4x + -18 = 3x + 16 + -5 Reorder the terms: -18 + 12x + -4x = 3x + 16 + -5 Combine like terms: 12x + -4x = 8x -18 + 8x = 3x + 16 + -5 Reorder the terms: -18 + 8x = 16 + -5 + 3x Combine like terms: 16 + -5 = 11 -18 + 8x = 11 + 3x Solving -18 + 8x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -18 + 8x + -3x = 11 + 3x + -3x Combine like terms: 8x + -3x = 5x -18 + 5x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 5x = 11 + 0 -18 + 5x = 11 Add '18' to each side of the equation. -18 + 18 + 5x = 11 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 11 + 18 5x = 11 + 18 Combine like terms: 11 + 18 = 29 5x = 29 Divide each side by '5'. x = 5.8 Simplifying x = 5.8
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