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Simplifying (32 + 3x + (-2y)) + -1(4x + -1y + (-4)) = 0 Remove parenthesis around (32 + 3x + (-2y)) 32 + 3x + (-2y) + -1(4x + -1y + (-4)) = 0 32 + 3x + (-2y) + -1(4x + -1y + -4) = 0 Reorder the terms: 32 + 3x + (-2y) + -1(-4 + 4x + -1y) = 0 32 + 3x + (-2y) + (-4 * -1 + 4x * -1 + -1y * -1) = 0 32 + 3x + (-2y) + (4 + -4x + 1y) = 0 Reorder the terms: 32 + 4 + 3x + -4x + (-2y) + 1y = 0 Combine like terms: 32 + 4 = 36 36 + 3x + -4x + (-2y) + 1y = 0 Combine like terms: 3x + -4x = -1x 36 + -1x + (-2y) + 1y = 0 Combine like terms: (-2y) + 1y = -1y 36 + -1x + -1y = 0 Solving 36 + -1x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -1x + -36 + -1y = 0 + -36 Reorder the terms: 36 + -36 + -1x + -1y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x + -1y = 0 + -36 -1x + -1y = 0 + -36 Combine like terms: 0 + -36 = -36 -1x + -1y = -36 Add 'y' to each side of the equation. -1x + -1y + y = -36 + y Combine like terms: -1y + y = 0 -1x + 0 = -36 + y -1x = -36 + y Divide each side by '-1'. x = 36 + -1y Simplifying x = 36 + -1y
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