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Simplifying 7(4x + 3) = 5(x + 4) + -6 Reorder the terms: 7(3 + 4x) = 5(x + 4) + -6 (3 * 7 + 4x * 7) = 5(x + 4) + -6 (21 + 28x) = 5(x + 4) + -6 Reorder the terms: 21 + 28x = 5(4 + x) + -6 21 + 28x = (4 * 5 + x * 5) + -6 21 + 28x = (20 + 5x) + -6 Reorder the terms: 21 + 28x = 20 + -6 + 5x Combine like terms: 20 + -6 = 14 21 + 28x = 14 + 5x Solving 21 + 28x = 14 + 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. 21 + 28x + -5x = 14 + 5x + -5x Combine like terms: 28x + -5x = 23x 21 + 23x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 23x = 14 + 0 21 + 23x = 14 Add '-21' to each side of the equation. 21 + -21 + 23x = 14 + -21 Combine like terms: 21 + -21 = 0 0 + 23x = 14 + -21 23x = 14 + -21 Combine like terms: 14 + -21 = -7 23x = -7 Divide each side by '23'. x = -0.3043478261 Simplifying x = -0.3043478261
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