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Simplifying 7(4x + 3) = 8(2x + 5) Reorder the terms: 7(3 + 4x) = 8(2x + 5) (3 * 7 + 4x * 7) = 8(2x + 5) (21 + 28x) = 8(2x + 5) Reorder the terms: 21 + 28x = 8(5 + 2x) 21 + 28x = (5 * 8 + 2x * 8) 21 + 28x = (40 + 16x) Solving 21 + 28x = 40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 21 + 28x + -16x = 40 + 16x + -16x Combine like terms: 28x + -16x = 12x 21 + 12x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 21 + 12x = 40 + 0 21 + 12x = 40 Add '-21' to each side of the equation. 21 + -21 + 12x = 40 + -21 Combine like terms: 21 + -21 = 0 0 + 12x = 40 + -21 12x = 40 + -21 Combine like terms: 40 + -21 = 19 12x = 19 Divide each side by '12'. x = 1.583333333 Simplifying x = 1.583333333
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