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Simplifying 13 + -10x = 45 + -38x Solving 13 + -10x = 45 + -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. 13 + -10x + 38x = 45 + -38x + 38x Combine like terms: -10x + 38x = 28x 13 + 28x = 45 + -38x + 38x Combine like terms: -38x + 38x = 0 13 + 28x = 45 + 0 13 + 28x = 45 Add '-13' to each side of the equation. 13 + -13 + 28x = 45 + -13 Combine like terms: 13 + -13 = 0 0 + 28x = 45 + -13 28x = 45 + -13 Combine like terms: 45 + -13 = 32 28x = 32 Divide each side by '28'. x = 1.142857143 Simplifying x = 1.142857143
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