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Simplifying 238 = -7x + 7(5x + -10) Reorder the terms: 238 = -7x + 7(-10 + 5x) 238 = -7x + (-10 * 7 + 5x * 7) 238 = -7x + (-70 + 35x) Reorder the terms: 238 = -70 + -7x + 35x Combine like terms: -7x + 35x = 28x 238 = -70 + 28x Solving 238 = -70 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 238 + -28x = -70 + 28x + -28x Combine like terms: 28x + -28x = 0 238 + -28x = -70 + 0 238 + -28x = -70 Add '-238' to each side of the equation. 238 + -238 + -28x = -70 + -238 Combine like terms: 238 + -238 = 0 0 + -28x = -70 + -238 -28x = -70 + -238 Combine like terms: -70 + -238 = -308 -28x = -308 Divide each side by '-28'. x = 11 Simplifying x = 11
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