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Simplifying 5(8 + 2x) = 2(7x + 1) (8 * 5 + 2x * 5) = 2(7x + 1) (40 + 10x) = 2(7x + 1) Reorder the terms: 40 + 10x = 2(1 + 7x) 40 + 10x = (1 * 2 + 7x * 2) 40 + 10x = (2 + 14x) Solving 40 + 10x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 40 + 10x + -14x = 2 + 14x + -14x Combine like terms: 10x + -14x = -4x 40 + -4x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 40 + -4x = 2 + 0 40 + -4x = 2 Add '-40' to each side of the equation. 40 + -40 + -4x = 2 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 2 + -40 -4x = 2 + -40 Combine like terms: 2 + -40 = -38 -4x = -38 Divide each side by '-4'. x = 9.5 Simplifying x = 9.5
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