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Simplifying 3x + -5 = 10 + 7(10 + -2x) Reorder the terms: -5 + 3x = 10 + 7(10 + -2x) -5 + 3x = 10 + (10 * 7 + -2x * 7) -5 + 3x = 10 + (70 + -14x) Combine like terms: 10 + 70 = 80 -5 + 3x = 80 + -14x Solving -5 + 3x = 80 + -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. -5 + 3x + 14x = 80 + -14x + 14x Combine like terms: 3x + 14x = 17x -5 + 17x = 80 + -14x + 14x Combine like terms: -14x + 14x = 0 -5 + 17x = 80 + 0 -5 + 17x = 80 Add '5' to each side of the equation. -5 + 5 + 17x = 80 + 5 Combine like terms: -5 + 5 = 0 0 + 17x = 80 + 5 17x = 80 + 5 Combine like terms: 80 + 5 = 85 17x = 85 Divide each side by '17'. x = 5 Simplifying x = 5
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