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Simplifying 7(4x + 3) = 0.5(8x + 5) Reorder the terms: 7(3 + 4x) = 0.5(8x + 5) (3 * 7 + 4x * 7) = 0.5(8x + 5) (21 + 28x) = 0.5(8x + 5) Reorder the terms: 21 + 28x = 0.5(5 + 8x) 21 + 28x = (5 * 0.5 + 8x * 0.5) 21 + 28x = (2.5 + 4x) Solving 21 + 28x = 2.5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 28x + -4x = 2.5 + 4x + -4x Combine like terms: 28x + -4x = 24x 21 + 24x = 2.5 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 24x = 2.5 + 0 21 + 24x = 2.5 Add '-21' to each side of the equation. 21 + -21 + 24x = 2.5 + -21 Combine like terms: 21 + -21 = 0 0 + 24x = 2.5 + -21 24x = 2.5 + -21 Combine like terms: 2.5 + -21 = -18.5 24x = -18.5 Divide each side by '24'. x = -0.7708333333 Simplifying x = -0.7708333333
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