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Simplifying 8(x + -4) = 7(x + -9) + 14 Reorder the terms: 8(-4 + x) = 7(x + -9) + 14 (-4 * 8 + x * 8) = 7(x + -9) + 14 (-32 + 8x) = 7(x + -9) + 14 Reorder the terms: -32 + 8x = 7(-9 + x) + 14 -32 + 8x = (-9 * 7 + x * 7) + 14 -32 + 8x = (-63 + 7x) + 14 Reorder the terms: -32 + 8x = -63 + 14 + 7x Combine like terms: -63 + 14 = -49 -32 + 8x = -49 + 7x Solving -32 + 8x = -49 + 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. -32 + 8x + -7x = -49 + 7x + -7x Combine like terms: 8x + -7x = 1x -32 + 1x = -49 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + 1x = -49 + 0 -32 + 1x = -49 Add '32' to each side of the equation. -32 + 32 + 1x = -49 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -49 + 32 1x = -49 + 32 Combine like terms: -49 + 32 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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