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Simplifying 5(8x + 3) = 9(4x + 7) Reorder the terms: 5(3 + 8x) = 9(4x + 7) (3 * 5 + 8x * 5) = 9(4x + 7) (15 + 40x) = 9(4x + 7) Reorder the terms: 15 + 40x = 9(7 + 4x) 15 + 40x = (7 * 9 + 4x * 9) 15 + 40x = (63 + 36x) Solving 15 + 40x = 63 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 15 + 40x + -36x = 63 + 36x + -36x Combine like terms: 40x + -36x = 4x 15 + 4x = 63 + 36x + -36x Combine like terms: 36x + -36x = 0 15 + 4x = 63 + 0 15 + 4x = 63 Add '-15' to each side of the equation. 15 + -15 + 4x = 63 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 63 + -15 4x = 63 + -15 Combine like terms: 63 + -15 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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