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Simplifying 2x + -3(2x + -8) = 4(3x + -8) + 8x Reorder the terms: 2x + -3(-8 + 2x) = 4(3x + -8) + 8x 2x + (-8 * -3 + 2x * -3) = 4(3x + -8) + 8x 2x + (24 + -6x) = 4(3x + -8) + 8x Reorder the terms: 24 + 2x + -6x = 4(3x + -8) + 8x Combine like terms: 2x + -6x = -4x 24 + -4x = 4(3x + -8) + 8x Reorder the terms: 24 + -4x = 4(-8 + 3x) + 8x 24 + -4x = (-8 * 4 + 3x * 4) + 8x 24 + -4x = (-32 + 12x) + 8x Combine like terms: 12x + 8x = 20x 24 + -4x = -32 + 20x Solving 24 + -4x = -32 + 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. 24 + -4x + -20x = -32 + 20x + -20x Combine like terms: -4x + -20x = -24x 24 + -24x = -32 + 20x + -20x Combine like terms: 20x + -20x = 0 24 + -24x = -32 + 0 24 + -24x = -32 Add '-24' to each side of the equation. 24 + -24 + -24x = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -24x = -32 + -24 -24x = -32 + -24 Combine like terms: -32 + -24 = -56 -24x = -56 Divide each side by '-24'. x = 2.333333333 Simplifying x = 2.333333333
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