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Simplifying 4(3x + 7) = 2(8x + 5) Reorder the terms: 4(7 + 3x) = 2(8x + 5) (7 * 4 + 3x * 4) = 2(8x + 5) (28 + 12x) = 2(8x + 5) Reorder the terms: 28 + 12x = 2(5 + 8x) 28 + 12x = (5 * 2 + 8x * 2) 28 + 12x = (10 + 16x) Solving 28 + 12x = 10 + 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. 28 + 12x + -16x = 10 + 16x + -16x Combine like terms: 12x + -16x = -4x 28 + -4x = 10 + 16x + -16x Combine like terms: 16x + -16x = 0 28 + -4x = 10 + 0 28 + -4x = 10 Add '-28' to each side of the equation. 28 + -28 + -4x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 10 + -28 -4x = 10 + -28 Combine like terms: 10 + -28 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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