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Simplifying 7(3x + 10) = 5(5x + 10) Reorder the terms: 7(10 + 3x) = 5(5x + 10) (10 * 7 + 3x * 7) = 5(5x + 10) (70 + 21x) = 5(5x + 10) Reorder the terms: 70 + 21x = 5(10 + 5x) 70 + 21x = (10 * 5 + 5x * 5) 70 + 21x = (50 + 25x) Solving 70 + 21x = 50 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 70 + 21x + -25x = 50 + 25x + -25x Combine like terms: 21x + -25x = -4x 70 + -4x = 50 + 25x + -25x Combine like terms: 25x + -25x = 0 70 + -4x = 50 + 0 70 + -4x = 50 Add '-70' to each side of the equation. 70 + -70 + -4x = 50 + -70 Combine like terms: 70 + -70 = 0 0 + -4x = 50 + -70 -4x = 50 + -70 Combine like terms: 50 + -70 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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