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Simplifying (3x + -2) * 7 = (x + 10) * 5 Reorder the terms: (-2 + 3x) * 7 = (x + 10) * 5 Reorder the terms for easier multiplication: 7(-2 + 3x) = (x + 10) * 5 (-2 * 7 + 3x * 7) = (x + 10) * 5 (-14 + 21x) = (x + 10) * 5 Reorder the terms: -14 + 21x = (10 + x) * 5 Reorder the terms for easier multiplication: -14 + 21x = 5(10 + x) -14 + 21x = (10 * 5 + x * 5) -14 + 21x = (50 + 5x) Solving -14 + 21x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 21x + -5x = 50 + 5x + -5x Combine like terms: 21x + -5x = 16x -14 + 16x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 16x = 50 + 0 -14 + 16x = 50 Add '14' to each side of the equation. -14 + 14 + 16x = 50 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = 50 + 14 16x = 50 + 14 Combine like terms: 50 + 14 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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