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Simplifying 3(4x + -6) + -2x + 1 = 3 + -1(3x + -6) Reorder the terms: 3(-6 + 4x) + -2x + 1 = 3 + -1(3x + -6) (-6 * 3 + 4x * 3) + -2x + 1 = 3 + -1(3x + -6) (-18 + 12x) + -2x + 1 = 3 + -1(3x + -6) Reorder the terms: -18 + 1 + 12x + -2x = 3 + -1(3x + -6) Combine like terms: -18 + 1 = -17 -17 + 12x + -2x = 3 + -1(3x + -6) Combine like terms: 12x + -2x = 10x -17 + 10x = 3 + -1(3x + -6) Reorder the terms: -17 + 10x = 3 + -1(-6 + 3x) -17 + 10x = 3 + (-6 * -1 + 3x * -1) -17 + 10x = 3 + (6 + -3x) Combine like terms: 3 + 6 = 9 -17 + 10x = 9 + -3x Solving -17 + 10x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -17 + 10x + 3x = 9 + -3x + 3x Combine like terms: 10x + 3x = 13x -17 + 13x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + 13x = 9 + 0 -17 + 13x = 9 Add '17' to each side of the equation. -17 + 17 + 13x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 13x = 9 + 17 13x = 9 + 17 Combine like terms: 9 + 17 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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