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Simplifying 11x + -3x + 102 = 11x + 45 Reorder the terms: 102 + 11x + -3x = 11x + 45 Combine like terms: 11x + -3x = 8x 102 + 8x = 11x + 45 Reorder the terms: 102 + 8x = 45 + 11x Solving 102 + 8x = 45 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 102 + 8x + -11x = 45 + 11x + -11x Combine like terms: 8x + -11x = -3x 102 + -3x = 45 + 11x + -11x Combine like terms: 11x + -11x = 0 102 + -3x = 45 + 0 102 + -3x = 45 Add '-102' to each side of the equation. 102 + -102 + -3x = 45 + -102 Combine like terms: 102 + -102 = 0 0 + -3x = 45 + -102 -3x = 45 + -102 Combine like terms: 45 + -102 = -57 -3x = -57 Divide each side by '-3'. x = 19 Simplifying x = 19
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