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Simplifying -114 + 5x = 102 + -3x Solving -114 + 5x = 102 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -114 + 5x + 3x = 102 + -3x + 3x Combine like terms: 5x + 3x = 8x -114 + 8x = 102 + -3x + 3x Combine like terms: -3x + 3x = 0 -114 + 8x = 102 + 0 -114 + 8x = 102 Add '114' to each side of the equation. -114 + 114 + 8x = 102 + 114 Combine like terms: -114 + 114 = 0 0 + 8x = 102 + 114 8x = 102 + 114 Combine like terms: 102 + 114 = 216 8x = 216 Divide each side by '8'. x = 27 Simplifying x = 27
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