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Simplifying 3 + -7x + 5.8 + -12x + 18.2 + -1x = 2x + 5 Reorder the terms: 3 + 5.8 + 18.2 + -7x + -12x + -1x = 2x + 5 Combine like terms: 3 + 5.8 = 8.8 8.8 + 18.2 + -7x + -12x + -1x = 2x + 5 Combine like terms: 8.8 + 18.2 = 27 27 + -7x + -12x + -1x = 2x + 5 Combine like terms: -7x + -12x = -19x 27 + -19x + -1x = 2x + 5 Combine like terms: -19x + -1x = -20x 27 + -20x = 2x + 5 Reorder the terms: 27 + -20x = 5 + 2x Solving 27 + -20x = 5 + 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. 27 + -20x + -2x = 5 + 2x + -2x Combine like terms: -20x + -2x = -22x 27 + -22x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + -22x = 5 + 0 27 + -22x = 5 Add '-27' to each side of the equation. 27 + -27 + -22x = 5 + -27 Combine like terms: 27 + -27 = 0 0 + -22x = 5 + -27 -22x = 5 + -27 Combine like terms: 5 + -27 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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