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