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Simplifying -8(2x + 4) = -1(9x + -3) Reorder the terms: -8(4 + 2x) = -1(9x + -3) (4 * -8 + 2x * -8) = -1(9x + -3) (-32 + -16x) = -1(9x + -3) Reorder the terms: -32 + -16x = -1(-3 + 9x) -32 + -16x = (-3 * -1 + 9x * -1) -32 + -16x = (3 + -9x) Solving -32 + -16x = 3 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -32 + -16x + 9x = 3 + -9x + 9x Combine like terms: -16x + 9x = -7x -32 + -7x = 3 + -9x + 9x Combine like terms: -9x + 9x = 0 -32 + -7x = 3 + 0 -32 + -7x = 3 Add '32' to each side of the equation. -32 + 32 + -7x = 3 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = 3 + 32 -7x = 3 + 32 Combine like terms: 3 + 32 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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