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Simplifying -8x + 5x + -18 = 2x + 12 Reorder the terms: -18 + -8x + 5x = 2x + 12 Combine like terms: -8x + 5x = -3x -18 + -3x = 2x + 12 Reorder the terms: -18 + -3x = 12 + 2x Solving -18 + -3x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + -3x + -2x = 12 + 2x + -2x Combine like terms: -3x + -2x = -5x -18 + -5x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + -5x = 12 + 0 -18 + -5x = 12 Add '18' to each side of the equation. -18 + 18 + -5x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 12 + 18 -5x = 12 + 18 Combine like terms: 12 + 18 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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