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Simplifying 6(2x + -1) = 3(5x + 7) Reorder the terms: 6(-1 + 2x) = 3(5x + 7) (-1 * 6 + 2x * 6) = 3(5x + 7) (-6 + 12x) = 3(5x + 7) Reorder the terms: -6 + 12x = 3(7 + 5x) -6 + 12x = (7 * 3 + 5x * 3) -6 + 12x = (21 + 15x) Solving -6 + 12x = 21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -6 + 12x + -15x = 21 + 15x + -15x Combine like terms: 12x + -15x = -3x -6 + -3x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + -3x = 21 + 0 -6 + -3x = 21 Add '6' to each side of the equation. -6 + 6 + -3x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 21 + 6 -3x = 21 + 6 Combine like terms: 21 + 6 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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