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Simplifying 2(2x + -8) = 8(3x + -9) Reorder the terms: 2(-8 + 2x) = 8(3x + -9) (-8 * 2 + 2x * 2) = 8(3x + -9) (-16 + 4x) = 8(3x + -9) Reorder the terms: -16 + 4x = 8(-9 + 3x) -16 + 4x = (-9 * 8 + 3x * 8) -16 + 4x = (-72 + 24x) Solving -16 + 4x = -72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -16 + 4x + -24x = -72 + 24x + -24x Combine like terms: 4x + -24x = -20x -16 + -20x = -72 + 24x + -24x Combine like terms: 24x + -24x = 0 -16 + -20x = -72 + 0 -16 + -20x = -72 Add '16' to each side of the equation. -16 + 16 + -20x = -72 + 16 Combine like terms: -16 + 16 = 0 0 + -20x = -72 + 16 -20x = -72 + 16 Combine like terms: -72 + 16 = -56 -20x = -56 Divide each side by '-20'. x = 2.8 Simplifying x = 2.8
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