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Simplifying 3(4x + 1) + -5 = 2y + 3x + -6 Reorder the terms: 3(1 + 4x) + -5 = 2y + 3x + -6 (1 * 3 + 4x * 3) + -5 = 2y + 3x + -6 (3 + 12x) + -5 = 2y + 3x + -6 Reorder the terms: 3 + -5 + 12x = 2y + 3x + -6 Combine like terms: 3 + -5 = -2 -2 + 12x = 2y + 3x + -6 Reorder the terms: -2 + 12x = -6 + 3x + 2y Solving -2 + 12x = -6 + 3x + 2y 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. -2 + 12x + -3x = -6 + 3x + -3x + 2y Combine like terms: 12x + -3x = 9x -2 + 9x = -6 + 3x + -3x + 2y Combine like terms: 3x + -3x = 0 -2 + 9x = -6 + 0 + 2y -2 + 9x = -6 + 2y Add '2' to each side of the equation. -2 + 2 + 9x = -6 + 2 + 2y Combine like terms: -2 + 2 = 0 0 + 9x = -6 + 2 + 2y 9x = -6 + 2 + 2y Combine like terms: -6 + 2 = -4 9x = -4 + 2y Divide each side by '9'. x = -0.4444444444 + 0.2222222222y Simplifying x = -0.4444444444 + 0.2222222222y
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