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Simplifying (2x + -7) * 10 = 3 + -5x + 27 Reorder the terms: (-7 + 2x) * 10 = 3 + -5x + 27 Reorder the terms for easier multiplication: 10(-7 + 2x) = 3 + -5x + 27 (-7 * 10 + 2x * 10) = 3 + -5x + 27 (-70 + 20x) = 3 + -5x + 27 Reorder the terms: -70 + 20x = 3 + 27 + -5x Combine like terms: 3 + 27 = 30 -70 + 20x = 30 + -5x Solving -70 + 20x = 30 + -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. -70 + 20x + 5x = 30 + -5x + 5x Combine like terms: 20x + 5x = 25x -70 + 25x = 30 + -5x + 5x Combine like terms: -5x + 5x = 0 -70 + 25x = 30 + 0 -70 + 25x = 30 Add '70' to each side of the equation. -70 + 70 + 25x = 30 + 70 Combine like terms: -70 + 70 = 0 0 + 25x = 30 + 70 25x = 30 + 70 Combine like terms: 30 + 70 = 100 25x = 100 Divide each side by '25'. x = 4 Simplifying x = 4
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