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Simplifying 7(4x + 9) + 3 = 5(x + 4) Reorder the terms: 7(9 + 4x) + 3 = 5(x + 4) (9 * 7 + 4x * 7) + 3 = 5(x + 4) (63 + 28x) + 3 = 5(x + 4) Reorder the terms: 63 + 3 + 28x = 5(x + 4) Combine like terms: 63 + 3 = 66 66 + 28x = 5(x + 4) Reorder the terms: 66 + 28x = 5(4 + x) 66 + 28x = (4 * 5 + x * 5) 66 + 28x = (20 + 5x) Solving 66 + 28x = 20 + 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. 66 + 28x + -5x = 20 + 5x + -5x Combine like terms: 28x + -5x = 23x 66 + 23x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 66 + 23x = 20 + 0 66 + 23x = 20 Add '-66' to each side of the equation. 66 + -66 + 23x = 20 + -66 Combine like terms: 66 + -66 = 0 0 + 23x = 20 + -66 23x = 20 + -66 Combine like terms: 20 + -66 = -46 23x = -46 Divide each side by '23'. x = -2 Simplifying x = -2
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