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Simplifying 5(x + 13) = 2x + 75 Reorder the terms: 5(13 + x) = 2x + 75 (13 * 5 + x * 5) = 2x + 75 (65 + 5x) = 2x + 75 Reorder the terms: 65 + 5x = 75 + 2x Solving 65 + 5x = 75 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 65 + 5x + -2x = 75 + 2x + -2x Combine like terms: 5x + -2x = 3x 65 + 3x = 75 + 2x + -2x Combine like terms: 2x + -2x = 0 65 + 3x = 75 + 0 65 + 3x = 75 Add '-65' to each side of the equation. 65 + -65 + 3x = 75 + -65 Combine like terms: 65 + -65 = 0 0 + 3x = 75 + -65 3x = 75 + -65 Combine like terms: 75 + -65 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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