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Simplifying 3x + 51 + -2x + 2 + -5x + 1 = 10 + 18x Reorder the terms: 51 + 2 + 1 + 3x + -2x + -5x = 10 + 18x Combine like terms: 51 + 2 = 53 53 + 1 + 3x + -2x + -5x = 10 + 18x Combine like terms: 53 + 1 = 54 54 + 3x + -2x + -5x = 10 + 18x Combine like terms: 3x + -2x = 1x 54 + 1x + -5x = 10 + 18x Combine like terms: 1x + -5x = -4x 54 + -4x = 10 + 18x Solving 54 + -4x = 10 + 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. 54 + -4x + -18x = 10 + 18x + -18x Combine like terms: -4x + -18x = -22x 54 + -22x = 10 + 18x + -18x Combine like terms: 18x + -18x = 0 54 + -22x = 10 + 0 54 + -22x = 10 Add '-54' to each side of the equation. 54 + -54 + -22x = 10 + -54 Combine like terms: 54 + -54 = 0 0 + -22x = 10 + -54 -22x = 10 + -54 Combine like terms: 10 + -54 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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