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Simplifying 4(3x + 5) = 8(2x + 3.5) Reorder the terms: 4(5 + 3x) = 8(2x + 3.5) (5 * 4 + 3x * 4) = 8(2x + 3.5) (20 + 12x) = 8(2x + 3.5) Reorder the terms: 20 + 12x = 8(3.5 + 2x) 20 + 12x = (3.5 * 8 + 2x * 8) 20 + 12x = (28 + 16x) Solving 20 + 12x = 28 + 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. 20 + 12x + -16x = 28 + 16x + -16x Combine like terms: 12x + -16x = -4x 20 + -4x = 28 + 16x + -16x Combine like terms: 16x + -16x = 0 20 + -4x = 28 + 0 20 + -4x = 28 Add '-20' to each side of the equation. 20 + -20 + -4x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 28 + -20 -4x = 28 + -20 Combine like terms: 28 + -20 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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