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Simplifying 3(x + -2) + -1(2x + 5) = -2x + 10 Reorder the terms: 3(-2 + x) + -1(2x + 5) = -2x + 10 (-2 * 3 + x * 3) + -1(2x + 5) = -2x + 10 (-6 + 3x) + -1(2x + 5) = -2x + 10 Reorder the terms: -6 + 3x + -1(5 + 2x) = -2x + 10 -6 + 3x + (5 * -1 + 2x * -1) = -2x + 10 -6 + 3x + (-5 + -2x) = -2x + 10 Reorder the terms: -6 + -5 + 3x + -2x = -2x + 10 Combine like terms: -6 + -5 = -11 -11 + 3x + -2x = -2x + 10 Combine like terms: 3x + -2x = 1x -11 + 1x = -2x + 10 Reorder the terms: -11 + 1x = 10 + -2x Solving -11 + 1x = 10 + -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. -11 + 1x + 2x = 10 + -2x + 2x Combine like terms: 1x + 2x = 3x -11 + 3x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 3x = 10 + 0 -11 + 3x = 10 Add '11' to each side of the equation. -11 + 11 + 3x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 10 + 11 3x = 10 + 11 Combine like terms: 10 + 11 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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