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Simplifying 5(3x + 2) = 2(6x + -4) Reorder the terms: 5(2 + 3x) = 2(6x + -4) (2 * 5 + 3x * 5) = 2(6x + -4) (10 + 15x) = 2(6x + -4) Reorder the terms: 10 + 15x = 2(-4 + 6x) 10 + 15x = (-4 * 2 + 6x * 2) 10 + 15x = (-8 + 12x) Solving 10 + 15x = -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 + 15x + -12x = -8 + 12x + -12x Combine like terms: 15x + -12x = 3x 10 + 3x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + 3x = -8 + 0 10 + 3x = -8 Add '-10' to each side of the equation. 10 + -10 + 3x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = -8 + -10 3x = -8 + -10 Combine like terms: -8 + -10 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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