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Simplifying 8(4 + -2x) = 4(3 + -2x) + 4x (4 * 8 + -2x * 8) = 4(3 + -2x) + 4x (32 + -16x) = 4(3 + -2x) + 4x 32 + -16x = (3 * 4 + -2x * 4) + 4x 32 + -16x = (12 + -8x) + 4x Combine like terms: -8x + 4x = -4x 32 + -16x = 12 + -4x Solving 32 + -16x = 12 + -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 = 12 + -4x + 4x Combine like terms: -16x + 4x = -12x 32 + -12x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 32 + -12x = 12 + 0 32 + -12x = 12 Add '-32' to each side of the equation. 32 + -32 + -12x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = 12 + -32 -12x = 12 + -32 Combine like terms: 12 + -32 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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