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Simplifying -3(x + 2) + 4(3x + -8) = 2(4x + 7) Reorder the terms: -3(2 + x) + 4(3x + -8) = 2(4x + 7) (2 * -3 + x * -3) + 4(3x + -8) = 2(4x + 7) (-6 + -3x) + 4(3x + -8) = 2(4x + 7) Reorder the terms: -6 + -3x + 4(-8 + 3x) = 2(4x + 7) -6 + -3x + (-8 * 4 + 3x * 4) = 2(4x + 7) -6 + -3x + (-32 + 12x) = 2(4x + 7) Reorder the terms: -6 + -32 + -3x + 12x = 2(4x + 7) Combine like terms: -6 + -32 = -38 -38 + -3x + 12x = 2(4x + 7) Combine like terms: -3x + 12x = 9x -38 + 9x = 2(4x + 7) Reorder the terms: -38 + 9x = 2(7 + 4x) -38 + 9x = (7 * 2 + 4x * 2) -38 + 9x = (14 + 8x) Solving -38 + 9x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -38 + 9x + -8x = 14 + 8x + -8x Combine like terms: 9x + -8x = 1x -38 + 1x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -38 + 1x = 14 + 0 -38 + 1x = 14 Add '38' to each side of the equation. -38 + 38 + 1x = 14 + 38 Combine like terms: -38 + 38 = 0 0 + 1x = 14 + 38 1x = 14 + 38 Combine like terms: 14 + 38 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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