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Simplifying 17 + 12x + -23 = 5x + -18 + 3x Reorder the terms: 17 + -23 + 12x = 5x + -18 + 3x Combine like terms: 17 + -23 = -6 -6 + 12x = 5x + -18 + 3x Reorder the terms: -6 + 12x = -18 + 5x + 3x Combine like terms: 5x + 3x = 8x -6 + 12x = -18 + 8x Solving -6 + 12x = -18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 12x + -8x = -18 + 8x + -8x Combine like terms: 12x + -8x = 4x -6 + 4x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + 4x = -18 + 0 -6 + 4x = -18 Add '6' to each side of the equation. -6 + 6 + 4x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -18 + 6 4x = -18 + 6 Combine like terms: -18 + 6 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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