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Simplifying 14 + -10x = 78 + -38x Solving 14 + -10x = 78 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. 14 + -10x + 38x = 78 + -38x + 38x Combine like terms: -10x + 38x = 28x 14 + 28x = 78 + -38x + 38x Combine like terms: -38x + 38x = 0 14 + 28x = 78 + 0 14 + 28x = 78 Add '-14' to each side of the equation. 14 + -14 + 28x = 78 + -14 Combine like terms: 14 + -14 = 0 0 + 28x = 78 + -14 28x = 78 + -14 Combine like terms: 78 + -14 = 64 28x = 64 Divide each side by '28'. x = 2.285714286 Simplifying x = 2.285714286
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