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Simplifying -2(x + 5) = 5(1 + -1x) + 3(7 + -2) Reorder the terms: -2(5 + x) = 5(1 + -1x) + 3(7 + -2) (5 * -2 + x * -2) = 5(1 + -1x) + 3(7 + -2) (-10 + -2x) = 5(1 + -1x) + 3(7 + -2) -10 + -2x = (1 * 5 + -1x * 5) + 3(7 + -2) -10 + -2x = (5 + -5x) + 3(7 + -2) Combine like terms: 7 + -2 = 5 -10 + -2x = 5 + -5x + 3(5) Multiply 3 * 5 -10 + -2x = 5 + -5x + 15 Reorder the terms: -10 + -2x = 5 + 15 + -5x Combine like terms: 5 + 15 = 20 -10 + -2x = 20 + -5x Solving -10 + -2x = 20 + -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. -10 + -2x + 5x = 20 + -5x + 5x Combine like terms: -2x + 5x = 3x -10 + 3x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 3x = 20 + 0 -10 + 3x = 20 Add '10' to each side of the equation. -10 + 10 + 3x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 20 + 10 3x = 20 + 10 Combine like terms: 20 + 10 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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