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Simplifying 2(3x + 5) = 4(3x + -2) Reorder the terms: 2(5 + 3x) = 4(3x + -2) (5 * 2 + 3x * 2) = 4(3x + -2) (10 + 6x) = 4(3x + -2) Reorder the terms: 10 + 6x = 4(-2 + 3x) 10 + 6x = (-2 * 4 + 3x * 4) 10 + 6x = (-8 + 12x) Solving 10 + 6x = -8 + 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. 10 + 6x + -12x = -8 + 12x + -12x Combine like terms: 6x + -12x = -6x 10 + -6x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -6x = -8 + 0 10 + -6x = -8 Add '-10' to each side of the equation. 10 + -10 + -6x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -8 + -10 -6x = -8 + -10 Combine like terms: -8 + -10 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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