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Simplifying 10(x + 36) + -38(x + -47) = 0 Reorder the terms: 10(36 + x) + -38(x + -47) = 0 (36 * 10 + x * 10) + -38(x + -47) = 0 (360 + 10x) + -38(x + -47) = 0 Reorder the terms: 360 + 10x + -38(-47 + x) = 0 360 + 10x + (-47 * -38 + x * -38) = 0 360 + 10x + (1786 + -38x) = 0 Reorder the terms: 360 + 1786 + 10x + -38x = 0 Combine like terms: 360 + 1786 = 2146 2146 + 10x + -38x = 0 Combine like terms: 10x + -38x = -28x 2146 + -28x = 0 Solving 2146 + -28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2146' to each side of the equation. 2146 + -2146 + -28x = 0 + -2146 Combine like terms: 2146 + -2146 = 0 0 + -28x = 0 + -2146 -28x = 0 + -2146 Combine like terms: 0 + -2146 = -2146 -28x = -2146 Divide each side by '-28'. x = 76.64285714 Simplifying x = 76.64285714
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