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Simplifying 5 + 2x + 3x = 4(6 + -7x) Combine like terms: 2x + 3x = 5x 5 + 5x = 4(6 + -7x) 5 + 5x = (6 * 4 + -7x * 4) 5 + 5x = (24 + -28x) Solving 5 + 5x = 24 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 5 + 5x + 28x = 24 + -28x + 28x Combine like terms: 5x + 28x = 33x 5 + 33x = 24 + -28x + 28x Combine like terms: -28x + 28x = 0 5 + 33x = 24 + 0 5 + 33x = 24 Add '-5' to each side of the equation. 5 + -5 + 33x = 24 + -5 Combine like terms: 5 + -5 = 0 0 + 33x = 24 + -5 33x = 24 + -5 Combine like terms: 24 + -5 = 19 33x = 19 Divide each side by '33'. x = 0.5757575758 Simplifying x = 0.5757575758
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