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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 = -1 -1 + 3x + -2x = -2x + 10 Combine like terms: 3x + -2x = 1x -1 + 1x = -2x + 10 Reorder the terms: -1 + 1x = 10 + -2x Solving -1 + 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. -1 + 1x + 2x = 10 + -2x + 2x Combine like terms: 1x + 2x = 3x -1 + 3x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 3x = 10 + 0 -1 + 3x = 10 Add '1' to each side of the equation. -1 + 1 + 3x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 10 + 1 3x = 10 + 1 Combine like terms: 10 + 1 = 11 3x = 11 Divide each side by '3'. x = 3.666666667 Simplifying x = 3.666666667
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