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Simplifying 7(x + 5) + -3(4x + -2) = 1 Reorder the terms: 7(5 + x) + -3(4x + -2) = 1 (5 * 7 + x * 7) + -3(4x + -2) = 1 (35 + 7x) + -3(4x + -2) = 1 Reorder the terms: 35 + 7x + -3(-2 + 4x) = 1 35 + 7x + (-2 * -3 + 4x * -3) = 1 35 + 7x + (6 + -12x) = 1 Reorder the terms: 35 + 6 + 7x + -12x = 1 Combine like terms: 35 + 6 = 41 41 + 7x + -12x = 1 Combine like terms: 7x + -12x = -5x 41 + -5x = 1 Solving 41 + -5x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -5x = 1 + -41 Combine like terms: 41 + -41 = 0 0 + -5x = 1 + -41 -5x = 1 + -41 Combine like terms: 1 + -41 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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