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Simplifying 10x + -3x + 102 = 10x + 39 Reorder the terms: 102 + 10x + -3x = 10x + 39 Combine like terms: 10x + -3x = 7x 102 + 7x = 10x + 39 Reorder the terms: 102 + 7x = 39 + 10x Solving 102 + 7x = 39 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 102 + 7x + -10x = 39 + 10x + -10x Combine like terms: 7x + -10x = -3x 102 + -3x = 39 + 10x + -10x Combine like terms: 10x + -10x = 0 102 + -3x = 39 + 0 102 + -3x = 39 Add '-102' to each side of the equation. 102 + -102 + -3x = 39 + -102 Combine like terms: 102 + -102 = 0 0 + -3x = 39 + -102 -3x = 39 + -102 Combine like terms: 39 + -102 = -63 -3x = -63 Divide each side by '-3'. x = 21 Simplifying x = 21
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