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Simplifying 3x + -1(2x + 5) = 10 + -6(x + -2) Reorder the terms: 3x + -1(5 + 2x) = 10 + -6(x + -2) 3x + (5 * -1 + 2x * -1) = 10 + -6(x + -2) 3x + (-5 + -2x) = 10 + -6(x + -2) Reorder the terms: -5 + 3x + -2x = 10 + -6(x + -2) Combine like terms: 3x + -2x = 1x -5 + 1x = 10 + -6(x + -2) Reorder the terms: -5 + 1x = 10 + -6(-2 + x) -5 + 1x = 10 + (-2 * -6 + x * -6) -5 + 1x = 10 + (12 + -6x) Combine like terms: 10 + 12 = 22 -5 + 1x = 22 + -6x Solving -5 + 1x = 22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 1x + 6x = 22 + -6x + 6x Combine like terms: 1x + 6x = 7x -5 + 7x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 7x = 22 + 0 -5 + 7x = 22 Add '5' to each side of the equation. -5 + 5 + 7x = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 22 + 5 7x = 22 + 5 Combine like terms: 22 + 5 = 27 7x = 27 Divide each side by '7'. x = 3.857142857 Simplifying x = 3.857142857
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