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Simplifying 12x + -3x + 102 = 12x + 54 Reorder the terms: 102 + 12x + -3x = 12x + 54 Combine like terms: 12x + -3x = 9x 102 + 9x = 12x + 54 Reorder the terms: 102 + 9x = 54 + 12x Solving 102 + 9x = 54 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 102 + 9x + -12x = 54 + 12x + -12x Combine like terms: 9x + -12x = -3x 102 + -3x = 54 + 12x + -12x Combine like terms: 12x + -12x = 0 102 + -3x = 54 + 0 102 + -3x = 54 Add '-102' to each side of the equation. 102 + -102 + -3x = 54 + -102 Combine like terms: 102 + -102 = 0 0 + -3x = 54 + -102 -3x = 54 + -102 Combine like terms: 54 + -102 = -48 -3x = -48 Divide each side by '-3'. x = 16 Simplifying x = 16
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