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Simplifying 3[x + -3(x + 1) + 4y] = 0 Reorder the terms: 3[x + -3(1 + x) + 4y] = 0 3[x + (1 * -3 + x * -3) + 4y] = 0 3[x + (-3 + -3x) + 4y] = 0 Reorder the terms: 3[-3 + x + -3x + 4y] = 0 Combine like terms: x + -3x = -2x 3[-3 + -2x + 4y] = 0 [-3 * 3 + -2x * 3 + 4y * 3] = 0 [-9 + -6x + 12y] = 0 Solving -9 + -6x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -6x + 9 + 12y = 0 + 9 Reorder the terms: -9 + 9 + -6x + 12y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -6x + 12y = 0 + 9 -6x + 12y = 0 + 9 Combine like terms: 0 + 9 = 9 -6x + 12y = 9 Add '-12y' to each side of the equation. -6x + 12y + -12y = 9 + -12y Combine like terms: 12y + -12y = 0 -6x + 0 = 9 + -12y -6x = 9 + -12y Divide each side by '-6'. x = -1.5 + 2y Simplifying x = -1.5 + 2y
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