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Simplifying 8(4 + -2x) = 4(3 + -5) + 4x (4 * 8 + -2x * 8) = 4(3 + -5) + 4x (32 + -16x) = 4(3 + -5) + 4x Combine like terms: 3 + -5 = -2 32 + -16x = 4(-2) + 4x Multiply 4 * -2 32 + -16x = -8 + 4x Solving 32 + -16x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 32 + -16x + -4x = -8 + 4x + -4x Combine like terms: -16x + -4x = -20x 32 + -20x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + -20x = -8 + 0 32 + -20x = -8 Add '-32' to each side of the equation. 32 + -32 + -20x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -20x = -8 + -32 -20x = -8 + -32 Combine like terms: -8 + -32 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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