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Simplifying 4y + -3[x + -2(3 + -2x) + -4y] = 0 4y + -3[x + (3 * -2 + -2x * -2) + -4y] = 0 4y + -3[x + (-6 + 4x) + -4y] = 0 Reorder the terms: 4y + -3[-6 + x + 4x + -4y] = 0 Combine like terms: x + 4x = 5x 4y + -3[-6 + 5x + -4y] = 0 4y + [-6 * -3 + 5x * -3 + -4y * -3] = 0 4y + [18 + -15x + 12y] = 0 Reorder the terms: 18 + -15x + 4y + 12y = 0 Combine like terms: 4y + 12y = 16y 18 + -15x + 16y = 0 Solving 18 + -15x + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -15x + -18 + 16y = 0 + -18 Reorder the terms: 18 + -18 + -15x + 16y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -15x + 16y = 0 + -18 -15x + 16y = 0 + -18 Combine like terms: 0 + -18 = -18 -15x + 16y = -18 Add '-16y' to each side of the equation. -15x + 16y + -16y = -18 + -16y Combine like terms: 16y + -16y = 0 -15x + 0 = -18 + -16y -15x = -18 + -16y Divide each side by '-15'. x = 1.2 + 1.066666667y Simplifying x = 1.2 + 1.066666667y
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