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Simplifying 4[6x + -4(y + -3)] = 0 Reorder the terms: 4[6x + -4(-3 + y)] = 0 4[6x + (-3 * -4 + y * -4)] = 0 4[6x + (12 + -4y)] = 0 Reorder the terms: 4[12 + 6x + -4y] = 0 [12 * 4 + 6x * 4 + -4y * 4] = 0 [48 + 24x + -16y] = 0 Solving 48 + 24x + -16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 24x + -48 + -16y = 0 + -48 Reorder the terms: 48 + -48 + 24x + -16y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 24x + -16y = 0 + -48 24x + -16y = 0 + -48 Combine like terms: 0 + -48 = -48 24x + -16y = -48 Add '16y' to each side of the equation. 24x + -16y + 16y = -48 + 16y Combine like terms: -16y + 16y = 0 24x + 0 = -48 + 16y 24x = -48 + 16y Divide each side by '24'. x = -2 + 0.6666666667y Simplifying x = -2 + 0.6666666667y
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