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Simplifying 5(3x + 39) = 2(x + 39) Reorder the terms: 5(39 + 3x) = 2(x + 39) (39 * 5 + 3x * 5) = 2(x + 39) (195 + 15x) = 2(x + 39) Reorder the terms: 195 + 15x = 2(39 + x) 195 + 15x = (39 * 2 + x * 2) 195 + 15x = (78 + 2x) Solving 195 + 15x = 78 + 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. 195 + 15x + -2x = 78 + 2x + -2x Combine like terms: 15x + -2x = 13x 195 + 13x = 78 + 2x + -2x Combine like terms: 2x + -2x = 0 195 + 13x = 78 + 0 195 + 13x = 78 Add '-195' to each side of the equation. 195 + -195 + 13x = 78 + -195 Combine like terms: 195 + -195 = 0 0 + 13x = 78 + -195 13x = 78 + -195 Combine like terms: 78 + -195 = -117 13x = -117 Divide each side by '13'. x = -9 Simplifying x = -9
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