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Simplifying 34(6 + -7x) = 4x + 9 (6 * 34 + -7x * 34) = 4x + 9 (204 + -238x) = 4x + 9 Reorder the terms: 204 + -238x = 9 + 4x Solving 204 + -238x = 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. 204 + -238x + -4x = 9 + 4x + -4x Combine like terms: -238x + -4x = -242x 204 + -242x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 204 + -242x = 9 + 0 204 + -242x = 9 Add '-204' to each side of the equation. 204 + -204 + -242x = 9 + -204 Combine like terms: 204 + -204 = 0 0 + -242x = 9 + -204 -242x = 9 + -204 Combine like terms: 9 + -204 = -195 -242x = -195 Divide each side by '-242'. x = 0.805785124 Simplifying x = 0.805785124
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