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Simplifying 5(2x + 8) = 42x + 3 + -7x Reorder the terms: 5(8 + 2x) = 42x + 3 + -7x (8 * 5 + 2x * 5) = 42x + 3 + -7x (40 + 10x) = 42x + 3 + -7x Reorder the terms: 40 + 10x = 3 + 42x + -7x Combine like terms: 42x + -7x = 35x 40 + 10x = 3 + 35x Solving 40 + 10x = 3 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 40 + 10x + -35x = 3 + 35x + -35x Combine like terms: 10x + -35x = -25x 40 + -25x = 3 + 35x + -35x Combine like terms: 35x + -35x = 0 40 + -25x = 3 + 0 40 + -25x = 3 Add '-40' to each side of the equation. 40 + -40 + -25x = 3 + -40 Combine like terms: 40 + -40 = 0 0 + -25x = 3 + -40 -25x = 3 + -40 Combine like terms: 3 + -40 = -37 -25x = -37 Divide each side by '-25'. x = 1.48 Simplifying x = 1.48
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