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Simplifying -3(x + 2) + 4(3x + -8) = 2(4x + 7) + 2(3x + -6) Reorder the terms: -3(2 + x) + 4(3x + -8) = 2(4x + 7) + 2(3x + -6) (2 * -3 + x * -3) + 4(3x + -8) = 2(4x + 7) + 2(3x + -6) (-6 + -3x) + 4(3x + -8) = 2(4x + 7) + 2(3x + -6) Reorder the terms: -6 + -3x + 4(-8 + 3x) = 2(4x + 7) + 2(3x + -6) -6 + -3x + (-8 * 4 + 3x * 4) = 2(4x + 7) + 2(3x + -6) -6 + -3x + (-32 + 12x) = 2(4x + 7) + 2(3x + -6) Reorder the terms: -6 + -32 + -3x + 12x = 2(4x + 7) + 2(3x + -6) Combine like terms: -6 + -32 = -38 -38 + -3x + 12x = 2(4x + 7) + 2(3x + -6) Combine like terms: -3x + 12x = 9x -38 + 9x = 2(4x + 7) + 2(3x + -6) Reorder the terms: -38 + 9x = 2(7 + 4x) + 2(3x + -6) -38 + 9x = (7 * 2 + 4x * 2) + 2(3x + -6) -38 + 9x = (14 + 8x) + 2(3x + -6) Reorder the terms: -38 + 9x = 14 + 8x + 2(-6 + 3x) -38 + 9x = 14 + 8x + (-6 * 2 + 3x * 2) -38 + 9x = 14 + 8x + (-12 + 6x) Reorder the terms: -38 + 9x = 14 + -12 + 8x + 6x Combine like terms: 14 + -12 = 2 -38 + 9x = 2 + 8x + 6x Combine like terms: 8x + 6x = 14x -38 + 9x = 2 + 14x Solving -38 + 9x = 2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -38 + 9x + -14x = 2 + 14x + -14x Combine like terms: 9x + -14x = -5x -38 + -5x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 -38 + -5x = 2 + 0 -38 + -5x = 2 Add '38' to each side of the equation. -38 + 38 + -5x = 2 + 38 Combine like terms: -38 + 38 = 0 0 + -5x = 2 + 38 -5x = 2 + 38 Combine like terms: 2 + 38 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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