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Simplifying 2 + 6(2x + -3) = 4 + -1(13x + -30) Reorder the terms: 2 + 6(-3 + 2x) = 4 + -1(13x + -30) 2 + (-3 * 6 + 2x * 6) = 4 + -1(13x + -30) 2 + (-18 + 12x) = 4 + -1(13x + -30) Combine like terms: 2 + -18 = -16 -16 + 12x = 4 + -1(13x + -30) Reorder the terms: -16 + 12x = 4 + -1(-30 + 13x) -16 + 12x = 4 + (-30 * -1 + 13x * -1) -16 + 12x = 4 + (30 + -13x) Combine like terms: 4 + 30 = 34 -16 + 12x = 34 + -13x Solving -16 + 12x = 34 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -16 + 12x + 13x = 34 + -13x + 13x Combine like terms: 12x + 13x = 25x -16 + 25x = 34 + -13x + 13x Combine like terms: -13x + 13x = 0 -16 + 25x = 34 + 0 -16 + 25x = 34 Add '16' to each side of the equation. -16 + 16 + 25x = 34 + 16 Combine like terms: -16 + 16 = 0 0 + 25x = 34 + 16 25x = 34 + 16 Combine like terms: 34 + 16 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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