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Simplifying 40x + 15 + -3(4x + -9) = 79 + 5x + -2 Reorder the terms: 40x + 15 + -3(-9 + 4x) = 79 + 5x + -2 40x + 15 + (-9 * -3 + 4x * -3) = 79 + 5x + -2 40x + 15 + (27 + -12x) = 79 + 5x + -2 Reorder the terms: 15 + 27 + 40x + -12x = 79 + 5x + -2 Combine like terms: 15 + 27 = 42 42 + 40x + -12x = 79 + 5x + -2 Combine like terms: 40x + -12x = 28x 42 + 28x = 79 + 5x + -2 Reorder the terms: 42 + 28x = 79 + -2 + 5x Combine like terms: 79 + -2 = 77 42 + 28x = 77 + 5x Solving 42 + 28x = 77 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + 28x + -5x = 77 + 5x + -5x Combine like terms: 28x + -5x = 23x 42 + 23x = 77 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 23x = 77 + 0 42 + 23x = 77 Add '-42' to each side of the equation. 42 + -42 + 23x = 77 + -42 Combine like terms: 42 + -42 = 0 0 + 23x = 77 + -42 23x = 77 + -42 Combine like terms: 77 + -42 = 35 23x = 35 Divide each side by '23'. x = 1.52173913 Simplifying x = 1.52173913
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