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Simplifying (9 + 2x) * 5 = 6x + 13 Reorder the terms for easier multiplication: 5(9 + 2x) = 6x + 13 (9 * 5 + 2x * 5) = 6x + 13 (45 + 10x) = 6x + 13 Reorder the terms: 45 + 10x = 13 + 6x Solving 45 + 10x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 10x + -6x = 13 + 6x + -6x Combine like terms: 10x + -6x = 4x 45 + 4x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 4x = 13 + 0 45 + 4x = 13 Add '-45' to each side of the equation. 45 + -45 + 4x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 13 + -45 4x = 13 + -45 Combine like terms: 13 + -45 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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