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Simplifying 2(x + -1) + -3(x + 5) = 6(2x + -1) + -5 Reorder the terms: 2(-1 + x) + -3(x + 5) = 6(2x + -1) + -5 (-1 * 2 + x * 2) + -3(x + 5) = 6(2x + -1) + -5 (-2 + 2x) + -3(x + 5) = 6(2x + -1) + -5 Reorder the terms: -2 + 2x + -3(5 + x) = 6(2x + -1) + -5 -2 + 2x + (5 * -3 + x * -3) = 6(2x + -1) + -5 -2 + 2x + (-15 + -3x) = 6(2x + -1) + -5 Reorder the terms: -2 + -15 + 2x + -3x = 6(2x + -1) + -5 Combine like terms: -2 + -15 = -17 -17 + 2x + -3x = 6(2x + -1) + -5 Combine like terms: 2x + -3x = -1x -17 + -1x = 6(2x + -1) + -5 Reorder the terms: -17 + -1x = 6(-1 + 2x) + -5 -17 + -1x = (-1 * 6 + 2x * 6) + -5 -17 + -1x = (-6 + 12x) + -5 Reorder the terms: -17 + -1x = -6 + -5 + 12x Combine like terms: -6 + -5 = -11 -17 + -1x = -11 + 12x Solving -17 + -1x = -11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -17 + -1x + -12x = -11 + 12x + -12x Combine like terms: -1x + -12x = -13x -17 + -13x = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 -17 + -13x = -11 + 0 -17 + -13x = -11 Add '17' to each side of the equation. -17 + 17 + -13x = -11 + 17 Combine like terms: -17 + 17 = 0 0 + -13x = -11 + 17 -13x = -11 + 17 Combine like terms: -11 + 17 = 6 -13x = 6 Divide each side by '-13'. x = -0.4615384615 Simplifying x = -0.4615384615
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