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Simplifying 6(2x + -3) + -2(3x + 1) = -7x + 6 Reorder the terms: 6(-3 + 2x) + -2(3x + 1) = -7x + 6 (-3 * 6 + 2x * 6) + -2(3x + 1) = -7x + 6 (-18 + 12x) + -2(3x + 1) = -7x + 6 Reorder the terms: -18 + 12x + -2(1 + 3x) = -7x + 6 -18 + 12x + (1 * -2 + 3x * -2) = -7x + 6 -18 + 12x + (-2 + -6x) = -7x + 6 Reorder the terms: -18 + -2 + 12x + -6x = -7x + 6 Combine like terms: -18 + -2 = -20 -20 + 12x + -6x = -7x + 6 Combine like terms: 12x + -6x = 6x -20 + 6x = -7x + 6 Reorder the terms: -20 + 6x = 6 + -7x Solving -20 + 6x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + 6x + 7x = 6 + -7x + 7x Combine like terms: 6x + 7x = 13x -20 + 13x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 13x = 6 + 0 -20 + 13x = 6 Add '20' to each side of the equation. -20 + 20 + 13x = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 13x = 6 + 20 13x = 6 + 20 Combine like terms: 6 + 20 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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