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Simplifying 6(x + 3) + -4(5 + -2x) = 12x Reorder the terms: 6(3 + x) + -4(5 + -2x) = 12x (3 * 6 + x * 6) + -4(5 + -2x) = 12x (18 + 6x) + -4(5 + -2x) = 12x 18 + 6x + (5 * -4 + -2x * -4) = 12x 18 + 6x + (-20 + 8x) = 12x Reorder the terms: 18 + -20 + 6x + 8x = 12x Combine like terms: 18 + -20 = -2 -2 + 6x + 8x = 12x Combine like terms: 6x + 8x = 14x -2 + 14x = 12x Solving -2 + 14x = 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. -2 + 14x + -12x = 12x + -12x Combine like terms: 14x + -12x = 2x -2 + 2x = 12x + -12x Combine like terms: 12x + -12x = 0 -2 + 2x = 0 Add '2' to each side of the equation. -2 + 2 + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 0 + 2 2x = 0 + 2 Combine like terms: 0 + 2 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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