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Simplifying 3(1 + -1x) + -2(5 + -5x) = 2x + 3(1 + 5) (1 * 3 + -1x * 3) + -2(5 + -5x) = 2x + 3(1 + 5) (3 + -3x) + -2(5 + -5x) = 2x + 3(1 + 5) 3 + -3x + (5 * -2 + -5x * -2) = 2x + 3(1 + 5) 3 + -3x + (-10 + 10x) = 2x + 3(1 + 5) Reorder the terms: 3 + -10 + -3x + 10x = 2x + 3(1 + 5) Combine like terms: 3 + -10 = -7 -7 + -3x + 10x = 2x + 3(1 + 5) Combine like terms: -3x + 10x = 7x -7 + 7x = 2x + 3(1 + 5) Combine like terms: 1 + 5 = 6 -7 + 7x = 2x + 3(6) Multiply 3 * 6 -7 + 7x = 2x + 18 Reorder the terms: -7 + 7x = 18 + 2x Solving -7 + 7x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 7x + -2x = 18 + 2x + -2x Combine like terms: 7x + -2x = 5x -7 + 5x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 5x = 18 + 0 -7 + 5x = 18 Add '7' to each side of the equation. -7 + 7 + 5x = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 18 + 7 5x = 18 + 7 Combine like terms: 18 + 7 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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