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Simplifying 10x + 20 = 18x + 74 Reorder the terms: 20 + 10x = 18x + 74 Reorder the terms: 20 + 10x = 74 + 18x Solving 20 + 10x = 74 + 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. 20 + 10x + -18x = 74 + 18x + -18x Combine like terms: 10x + -18x = -8x 20 + -8x = 74 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -8x = 74 + 0 20 + -8x = 74 Add '-20' to each side of the equation. 20 + -20 + -8x = 74 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = 74 + -20 -8x = 74 + -20 Combine like terms: 74 + -20 = 54 -8x = 54 Divide each side by '-8'. x = -6.75 Simplifying x = -6.75
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