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Simplifying 8(4x + 5) = 8(2x + 11) Reorder the terms: 8(5 + 4x) = 8(2x + 11) (5 * 8 + 4x * 8) = 8(2x + 11) (40 + 32x) = 8(2x + 11) Reorder the terms: 40 + 32x = 8(11 + 2x) 40 + 32x = (11 * 8 + 2x * 8) 40 + 32x = (88 + 16x) Solving 40 + 32x = 88 + 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. 40 + 32x + -16x = 88 + 16x + -16x Combine like terms: 32x + -16x = 16x 40 + 16x = 88 + 16x + -16x Combine like terms: 16x + -16x = 0 40 + 16x = 88 + 0 40 + 16x = 88 Add '-40' to each side of the equation. 40 + -40 + 16x = 88 + -40 Combine like terms: 40 + -40 = 0 0 + 16x = 88 + -40 16x = 88 + -40 Combine like terms: 88 + -40 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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