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Simplifying 7(3x + -2) + 5 = 6(2x + -1) + 2y Reorder the terms: 7(-2 + 3x) + 5 = 6(2x + -1) + 2y (-2 * 7 + 3x * 7) + 5 = 6(2x + -1) + 2y (-14 + 21x) + 5 = 6(2x + -1) + 2y Reorder the terms: -14 + 5 + 21x = 6(2x + -1) + 2y Combine like terms: -14 + 5 = -9 -9 + 21x = 6(2x + -1) + 2y Reorder the terms: -9 + 21x = 6(-1 + 2x) + 2y -9 + 21x = (-1 * 6 + 2x * 6) + 2y -9 + 21x = (-6 + 12x) + 2y Solving -9 + 21x = -6 + 12x + 2y 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. -9 + 21x + -12x = -6 + 12x + -12x + 2y Combine like terms: 21x + -12x = 9x -9 + 9x = -6 + 12x + -12x + 2y Combine like terms: 12x + -12x = 0 -9 + 9x = -6 + 0 + 2y -9 + 9x = -6 + 2y Add '9' to each side of the equation. -9 + 9 + 9x = -6 + 9 + 2y Combine like terms: -9 + 9 = 0 0 + 9x = -6 + 9 + 2y 9x = -6 + 9 + 2y Combine like terms: -6 + 9 = 3 9x = 3 + 2y Divide each side by '9'. x = 0.3333333333 + 0.2222222222y Simplifying x = 0.3333333333 + 0.2222222222y
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