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Simplifying 7(17 + -4x) = 4x + -9 (17 * 7 + -4x * 7) = 4x + -9 (119 + -28x) = 4x + -9 Reorder the terms: 119 + -28x = -9 + 4x Solving 119 + -28x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 119 + -28x + -4x = -9 + 4x + -4x Combine like terms: -28x + -4x = -32x 119 + -32x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 119 + -32x = -9 + 0 119 + -32x = -9 Add '-119' to each side of the equation. 119 + -119 + -32x = -9 + -119 Combine like terms: 119 + -119 = 0 0 + -32x = -9 + -119 -32x = -9 + -119 Combine like terms: -9 + -119 = -128 -32x = -128 Divide each side by '-32'. x = 4 Simplifying x = 4
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