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Simplifying 20x + 40 + 2x = 30x + -45 + 18 Reorder the terms: 40 + 20x + 2x = 30x + -45 + 18 Combine like terms: 20x + 2x = 22x 40 + 22x = 30x + -45 + 18 Reorder the terms: 40 + 22x = -45 + 18 + 30x Combine like terms: -45 + 18 = -27 40 + 22x = -27 + 30x Solving 40 + 22x = -27 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 40 + 22x + -30x = -27 + 30x + -30x Combine like terms: 22x + -30x = -8x 40 + -8x = -27 + 30x + -30x Combine like terms: 30x + -30x = 0 40 + -8x = -27 + 0 40 + -8x = -27 Add '-40' to each side of the equation. 40 + -40 + -8x = -27 + -40 Combine like terms: 40 + -40 = 0 0 + -8x = -27 + -40 -8x = -27 + -40 Combine like terms: -27 + -40 = -67 -8x = -67 Divide each side by '-8'. x = 8.375 Simplifying x = 8.375
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