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Simplifying 3x + -5x + 2 = 6x + -5 + 12x Reorder the terms: 2 + 3x + -5x = 6x + -5 + 12x Combine like terms: 3x + -5x = -2x 2 + -2x = 6x + -5 + 12x Reorder the terms: 2 + -2x = -5 + 6x + 12x Combine like terms: 6x + 12x = 18x 2 + -2x = -5 + 18x Solving 2 + -2x = -5 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 2 + -2x + -18x = -5 + 18x + -18x Combine like terms: -2x + -18x = -20x 2 + -20x = -5 + 18x + -18x Combine like terms: 18x + -18x = 0 2 + -20x = -5 + 0 2 + -20x = -5 Add '-2' to each side of the equation. 2 + -2 + -20x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -20x = -5 + -2 -20x = -5 + -2 Combine like terms: -5 + -2 = -7 -20x = -7 Divide each side by '-20'. x = 0.35 Simplifying x = 0.35
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