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Simplifying 8(x + 4) + -4X = 2(2X + 4) + -14 Reorder the terms: 8(4 + x) + -4X = 2(2X + 4) + -14 (4 * 8 + x * 8) + -4X = 2(2X + 4) + -14 (32 + 8x) + -4X = 2(2X + 4) + -14 Reorder the terms: 32 + -4X + 8x = 2(2X + 4) + -14 Reorder the terms: 32 + -4X + 8x = 2(4 + 2X) + -14 32 + -4X + 8x = (4 * 2 + 2X * 2) + -14 32 + -4X + 8x = (8 + 4X) + -14 Reorder the terms: 32 + -4X + 8x = 8 + -14 + 4X Combine like terms: 8 + -14 = -6 32 + -4X + 8x = -6 + 4X Solving 32 + -4X + 8x = -6 + 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. 32 + -4X + -4X + 8x = -6 + 4X + -4X Combine like terms: -4X + -4X = -8X 32 + -8X + 8x = -6 + 4X + -4X Combine like terms: 4X + -4X = 0 32 + -8X + 8x = -6 + 0 32 + -8X + 8x = -6 Add '-32' to each side of the equation. 32 + -8X + -32 + 8x = -6 + -32 Reorder the terms: 32 + -32 + -8X + 8x = -6 + -32 Combine like terms: 32 + -32 = 0 0 + -8X + 8x = -6 + -32 -8X + 8x = -6 + -32 Combine like terms: -6 + -32 = -38 -8X + 8x = -38 Add '-8x' to each side of the equation. -8X + 8x + -8x = -38 + -8x Combine like terms: 8x + -8x = 0 -8X + 0 = -38 + -8x -8X = -38 + -8x Divide each side by '-8'. X = 4.75 + x Simplifying X = 4.75 + x
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