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Simplifying 4(x + -3y) + 3 = -4x + -2y (x * 4 + -3y * 4) + 3 = -4x + -2y (4x + -12y) + 3 = -4x + -2y Reorder the terms: 3 + 4x + -12y = -4x + -2y Solving 3 + 4x + -12y = -4x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + 4x + 4x + -12y = -4x + 4x + -2y Combine like terms: 4x + 4x = 8x 3 + 8x + -12y = -4x + 4x + -2y Combine like terms: -4x + 4x = 0 3 + 8x + -12y = 0 + -2y 3 + 8x + -12y = -2y Add '-3' to each side of the equation. 3 + 8x + -3 + -12y = -3 + -2y Reorder the terms: 3 + -3 + 8x + -12y = -3 + -2y Combine like terms: 3 + -3 = 0 0 + 8x + -12y = -3 + -2y 8x + -12y = -3 + -2y Add '12y' to each side of the equation. 8x + -12y + 12y = -3 + -2y + 12y Combine like terms: -12y + 12y = 0 8x + 0 = -3 + -2y + 12y 8x = -3 + -2y + 12y Combine like terms: -2y + 12y = 10y 8x = -3 + 10y Divide each side by '8'. x = -0.375 + 1.25y Simplifying x = -0.375 + 1.25y
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