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Simplifying -8(8 + 3x) = 4(-5x + -7) (8 * -8 + 3x * -8) = 4(-5x + -7) (-64 + -24x) = 4(-5x + -7) Reorder the terms: -64 + -24x = 4(-7 + -5x) -64 + -24x = (-7 * 4 + -5x * 4) -64 + -24x = (-28 + -20x) Solving -64 + -24x = -28 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -64 + -24x + 20x = -28 + -20x + 20x Combine like terms: -24x + 20x = -4x -64 + -4x = -28 + -20x + 20x Combine like terms: -20x + 20x = 0 -64 + -4x = -28 + 0 -64 + -4x = -28 Add '64' to each side of the equation. -64 + 64 + -4x = -28 + 64 Combine like terms: -64 + 64 = 0 0 + -4x = -28 + 64 -4x = -28 + 64 Combine like terms: -28 + 64 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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