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Simplifying (32 + 3x + (-2y)) + -1(4x + -9y + (-4)) = 0 Remove parenthesis around (32 + 3x + (-2y)) 32 + 3x + (-2y) + -1(4x + -9y + (-4)) = 0 32 + 3x + (-2y) + -1(4x + -9y + -4) = 0 Reorder the terms: 32 + 3x + (-2y) + -1(-4 + 4x + -9y) = 0 32 + 3x + (-2y) + (-4 * -1 + 4x * -1 + -9y * -1) = 0 32 + 3x + (-2y) + (4 + -4x + 9y) = 0 Reorder the terms: 32 + 4 + 3x + -4x + (-2y) + 9y = 0 Combine like terms: 32 + 4 = 36 36 + 3x + -4x + (-2y) + 9y = 0 Combine like terms: 3x + -4x = -1x 36 + -1x + (-2y) + 9y = 0 Combine like terms: (-2y) + 9y = 7y 36 + -1x + 7y = 0 Solving 36 + -1x + 7y = 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 + 7y = 0 + -36 Reorder the terms: 36 + -36 + -1x + 7y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x + 7y = 0 + -36 -1x + 7y = 0 + -36 Combine like terms: 0 + -36 = -36 -1x + 7y = -36 Add '-7y' to each side of the equation. -1x + 7y + -7y = -36 + -7y Combine like terms: 7y + -7y = 0 -1x + 0 = -36 + -7y -1x = -36 + -7y Divide each side by '-1'. x = 36 + 7y Simplifying x = 36 + 7y
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