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Simplifying 2(2 + -3x) = 40 + 6x (2 * 2 + -3x * 2) = 40 + 6x (4 + -6x) = 40 + 6x Solving 4 + -6x = 40 + 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. 4 + -6x + -6x = 40 + 6x + -6x Combine like terms: -6x + -6x = -12x 4 + -12x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -12x = 40 + 0 4 + -12x = 40 Add '-4' to each side of the equation. 4 + -4 + -12x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 40 + -4 -12x = 40 + -4 Combine like terms: 40 + -4 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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