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Simplifying 4(8 + -3x) = 3(26 + -2x) (8 * 4 + -3x * 4) = 3(26 + -2x) (32 + -12x) = 3(26 + -2x) 32 + -12x = (26 * 3 + -2x * 3) 32 + -12x = (78 + -6x) Solving 32 + -12x = 78 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 32 + -12x + 6x = 78 + -6x + 6x Combine like terms: -12x + 6x = -6x 32 + -6x = 78 + -6x + 6x Combine like terms: -6x + 6x = 0 32 + -6x = 78 + 0 32 + -6x = 78 Add '-32' to each side of the equation. 32 + -32 + -6x = 78 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = 78 + -32 -6x = 78 + -32 Combine like terms: 78 + -32 = 46 -6x = 46 Divide each side by '-6'. x = -7.666666667 Simplifying x = -7.666666667
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