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Simplifying 4x + -1(x + 2) = 7x + 2(x + 5) Reorder the terms: 4x + -1(2 + x) = 7x + 2(x + 5) 4x + (2 * -1 + x * -1) = 7x + 2(x + 5) 4x + (-2 + -1x) = 7x + 2(x + 5) Reorder the terms: -2 + 4x + -1x = 7x + 2(x + 5) Combine like terms: 4x + -1x = 3x -2 + 3x = 7x + 2(x + 5) Reorder the terms: -2 + 3x = 7x + 2(5 + x) -2 + 3x = 7x + (5 * 2 + x * 2) -2 + 3x = 7x + (10 + 2x) Reorder the terms: -2 + 3x = 10 + 7x + 2x Combine like terms: 7x + 2x = 9x -2 + 3x = 10 + 9x Solving -2 + 3x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 3x + -9x = 10 + 9x + -9x Combine like terms: 3x + -9x = -6x -2 + -6x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -6x = 10 + 0 -2 + -6x = 10 Add '2' to each side of the equation. -2 + 2 + -6x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 10 + 2 -6x = 10 + 2 Combine like terms: 10 + 2 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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