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Simplifying 3(12x + -65) = 5(23x + -11) Reorder the terms: 3(-65 + 12x) = 5(23x + -11) (-65 * 3 + 12x * 3) = 5(23x + -11) (-195 + 36x) = 5(23x + -11) Reorder the terms: -195 + 36x = 5(-11 + 23x) -195 + 36x = (-11 * 5 + 23x * 5) -195 + 36x = (-55 + 115x) Solving -195 + 36x = -55 + 115x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-115x' to each side of the equation. -195 + 36x + -115x = -55 + 115x + -115x Combine like terms: 36x + -115x = -79x -195 + -79x = -55 + 115x + -115x Combine like terms: 115x + -115x = 0 -195 + -79x = -55 + 0 -195 + -79x = -55 Add '195' to each side of the equation. -195 + 195 + -79x = -55 + 195 Combine like terms: -195 + 195 = 0 0 + -79x = -55 + 195 -79x = -55 + 195 Combine like terms: -55 + 195 = 140 -79x = 140 Divide each side by '-79'. x = -1.772151899 Simplifying x = -1.772151899
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