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Simplifying 13(x + 4) = 9x + 10 Reorder the terms: 13(4 + x) = 9x + 10 (4 * 13 + x * 13) = 9x + 10 (52 + 13x) = 9x + 10 Reorder the terms: 52 + 13x = 10 + 9x Solving 52 + 13x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 52 + 13x + -9x = 10 + 9x + -9x Combine like terms: 13x + -9x = 4x 52 + 4x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 52 + 4x = 10 + 0 52 + 4x = 10 Add '-52' to each side of the equation. 52 + -52 + 4x = 10 + -52 Combine like terms: 52 + -52 = 0 0 + 4x = 10 + -52 4x = 10 + -52 Combine like terms: 10 + -52 = -42 4x = -42 Divide each side by '4'. x = -10.5 Simplifying x = -10.5
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