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Simplifying -102 + 3x = 45 + -4x Solving -102 + 3x = 45 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -102 + 3x + 4x = 45 + -4x + 4x Combine like terms: 3x + 4x = 7x -102 + 7x = 45 + -4x + 4x Combine like terms: -4x + 4x = 0 -102 + 7x = 45 + 0 -102 + 7x = 45 Add '102' to each side of the equation. -102 + 102 + 7x = 45 + 102 Combine like terms: -102 + 102 = 0 0 + 7x = 45 + 102 7x = 45 + 102 Combine like terms: 45 + 102 = 147 7x = 147 Divide each side by '7'. x = 21 Simplifying x = 21
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