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Simplifying 2(2 + -3x) = 3(4x + 5) (2 * 2 + -3x * 2) = 3(4x + 5) (4 + -6x) = 3(4x + 5) Reorder the terms: 4 + -6x = 3(5 + 4x) 4 + -6x = (5 * 3 + 4x * 3) 4 + -6x = (15 + 12x) Solving 4 + -6x = 15 + 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. 4 + -6x + -12x = 15 + 12x + -12x Combine like terms: -6x + -12x = -18x 4 + -18x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -18x = 15 + 0 4 + -18x = 15 Add '-4' to each side of the equation. 4 + -4 + -18x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -18x = 15 + -4 -18x = 15 + -4 Combine like terms: 15 + -4 = 11 -18x = 11 Divide each side by '-18'. x = -0.6111111111 Simplifying x = -0.6111111111
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