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Simplifying 4(-1x + -7) + 8(x + 9) = 12 Reorder the terms: 4(-7 + -1x) + 8(x + 9) = 12 (-7 * 4 + -1x * 4) + 8(x + 9) = 12 (-28 + -4x) + 8(x + 9) = 12 Reorder the terms: -28 + -4x + 8(9 + x) = 12 -28 + -4x + (9 * 8 + x * 8) = 12 -28 + -4x + (72 + 8x) = 12 Reorder the terms: -28 + 72 + -4x + 8x = 12 Combine like terms: -28 + 72 = 44 44 + -4x + 8x = 12 Combine like terms: -4x + 8x = 4x 44 + 4x = 12 Solving 44 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 4x = 12 + -44 Combine like terms: 44 + -44 = 0 0 + 4x = 12 + -44 4x = 12 + -44 Combine like terms: 12 + -44 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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