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Simplifying -6(x + -1) + 4(2x + -5) = -1x + -1(3x + -2) Reorder the terms: -6(-1 + x) + 4(2x + -5) = -1x + -1(3x + -2) (-1 * -6 + x * -6) + 4(2x + -5) = -1x + -1(3x + -2) (6 + -6x) + 4(2x + -5) = -1x + -1(3x + -2) Reorder the terms: 6 + -6x + 4(-5 + 2x) = -1x + -1(3x + -2) 6 + -6x + (-5 * 4 + 2x * 4) = -1x + -1(3x + -2) 6 + -6x + (-20 + 8x) = -1x + -1(3x + -2) Reorder the terms: 6 + -20 + -6x + 8x = -1x + -1(3x + -2) Combine like terms: 6 + -20 = -14 -14 + -6x + 8x = -1x + -1(3x + -2) Combine like terms: -6x + 8x = 2x -14 + 2x = -1x + -1(3x + -2) Reorder the terms: -14 + 2x = -1x + -1(-2 + 3x) -14 + 2x = -1x + (-2 * -1 + 3x * -1) -14 + 2x = -1x + (2 + -3x) Reorder the terms: -14 + 2x = 2 + -1x + -3x Combine like terms: -1x + -3x = -4x -14 + 2x = 2 + -4x Solving -14 + 2x = 2 + -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. -14 + 2x + 4x = 2 + -4x + 4x Combine like terms: 2x + 4x = 6x -14 + 6x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 6x = 2 + 0 -14 + 6x = 2 Add '14' to each side of the equation. -14 + 14 + 6x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 2 + 14 6x = 2 + 14 Combine like terms: 2 + 14 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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