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Simplifying 3(x + -2) + -1(2x + 5) = 4x + -1 Reorder the terms: 3(-2 + x) + -1(2x + 5) = 4x + -1 (-2 * 3 + x * 3) + -1(2x + 5) = 4x + -1 (-6 + 3x) + -1(2x + 5) = 4x + -1 Reorder the terms: -6 + 3x + -1(5 + 2x) = 4x + -1 -6 + 3x + (5 * -1 + 2x * -1) = 4x + -1 -6 + 3x + (-5 + -2x) = 4x + -1 Reorder the terms: -6 + -5 + 3x + -2x = 4x + -1 Combine like terms: -6 + -5 = -11 -11 + 3x + -2x = 4x + -1 Combine like terms: 3x + -2x = 1x -11 + 1x = 4x + -1 Reorder the terms: -11 + 1x = -1 + 4x Solving -11 + 1x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + 1x + -4x = -1 + 4x + -4x Combine like terms: 1x + -4x = -3x -11 + -3x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -3x = -1 + 0 -11 + -3x = -1 Add '11' to each side of the equation. -11 + 11 + -3x = -1 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = -1 + 11 -3x = -1 + 11 Combine like terms: -1 + 11 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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