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Simplifying 2(-5x + -6) + -1(2 + x) = 3(7 + -1x) + -2(2x + 1) Reorder the terms: 2(-6 + -5x) + -1(2 + x) = 3(7 + -1x) + -2(2x + 1) (-6 * 2 + -5x * 2) + -1(2 + x) = 3(7 + -1x) + -2(2x + 1) (-12 + -10x) + -1(2 + x) = 3(7 + -1x) + -2(2x + 1) -12 + -10x + (2 * -1 + x * -1) = 3(7 + -1x) + -2(2x + 1) -12 + -10x + (-2 + -1x) = 3(7 + -1x) + -2(2x + 1) Reorder the terms: -12 + -2 + -10x + -1x = 3(7 + -1x) + -2(2x + 1) Combine like terms: -12 + -2 = -14 -14 + -10x + -1x = 3(7 + -1x) + -2(2x + 1) Combine like terms: -10x + -1x = -11x -14 + -11x = 3(7 + -1x) + -2(2x + 1) -14 + -11x = (7 * 3 + -1x * 3) + -2(2x + 1) -14 + -11x = (21 + -3x) + -2(2x + 1) Reorder the terms: -14 + -11x = 21 + -3x + -2(1 + 2x) -14 + -11x = 21 + -3x + (1 * -2 + 2x * -2) -14 + -11x = 21 + -3x + (-2 + -4x) Reorder the terms: -14 + -11x = 21 + -2 + -3x + -4x Combine like terms: 21 + -2 = 19 -14 + -11x = 19 + -3x + -4x Combine like terms: -3x + -4x = -7x -14 + -11x = 19 + -7x Solving -14 + -11x = 19 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -14 + -11x + 7x = 19 + -7x + 7x Combine like terms: -11x + 7x = -4x -14 + -4x = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 -14 + -4x = 19 + 0 -14 + -4x = 19 Add '14' to each side of the equation. -14 + 14 + -4x = 19 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = 19 + 14 -4x = 19 + 14 Combine like terms: 19 + 14 = 33 -4x = 33 Divide each side by '-4'. x = -8.25 Simplifying x = -8.25
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