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Simplifying 4(3y + -1) + -3(2x) = 6 Reorder the terms: 4(-1 + 3y) + -3(2x) = 6 (-1 * 4 + 3y * 4) + -3(2x) = 6 (-4 + 12y) + -3(2x) = 6 Remove parenthesis around (2x) -4 + 12y + -3 * 2x = 6 Multiply -3 * 2 -4 + 12y + -6x = 6 Reorder the terms: -4 + -6x + 12y = 6 Solving -4 + -6x + 12y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -6x + 4 + 12y = 6 + 4 Reorder the terms: -4 + 4 + -6x + 12y = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -6x + 12y = 6 + 4 -6x + 12y = 6 + 4 Combine like terms: 6 + 4 = 10 -6x + 12y = 10 Add '-12y' to each side of the equation. -6x + 12y + -12y = 10 + -12y Combine like terms: 12y + -12y = 0 -6x + 0 = 10 + -12y -6x = 10 + -12y Divide each side by '-6'. x = -1.666666667 + 2y Simplifying x = -1.666666667 + 2y
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