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Simplifying 5(3x + -4) = 2(6x + 2) Reorder the terms: 5(-4 + 3x) = 2(6x + 2) (-4 * 5 + 3x * 5) = 2(6x + 2) (-20 + 15x) = 2(6x + 2) Reorder the terms: -20 + 15x = 2(2 + 6x) -20 + 15x = (2 * 2 + 6x * 2) -20 + 15x = (4 + 12x) Solving -20 + 15x = 4 + 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. -20 + 15x + -12x = 4 + 12x + -12x Combine like terms: 15x + -12x = 3x -20 + 3x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + 3x = 4 + 0 -20 + 3x = 4 Add '20' to each side of the equation. -20 + 20 + 3x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 4 + 20 3x = 4 + 20 Combine like terms: 4 + 20 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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