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Simplifying 8(3 + -2x) = 2(10 + -6x) (3 * 8 + -2x * 8) = 2(10 + -6x) (24 + -16x) = 2(10 + -6x) 24 + -16x = (10 * 2 + -6x * 2) 24 + -16x = (20 + -12x) Solving 24 + -16x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 24 + -16x + 12x = 20 + -12x + 12x Combine like terms: -16x + 12x = -4x 24 + -4x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + -4x = 20 + 0 24 + -4x = 20 Add '-24' to each side of the equation. 24 + -24 + -4x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 20 + -24 -4x = 20 + -24 Combine like terms: 20 + -24 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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