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Simplifying 5x + -4[(9y + 6) * 5 + -9] = 3y + -18x + 8(3x + -5) Reorder the terms: 5x + -4[(6 + 9y) * 5 + -9] = 3y + -18x + 8(3x + -5) Reorder the terms for easier multiplication: 5x + -4[5(6 + 9y) + -9] = 3y + -18x + 8(3x + -5) 5x + -4[(6 * 5 + 9y * 5) + -9] = 3y + -18x + 8(3x + -5) 5x + -4[(30 + 45y) + -9] = 3y + -18x + 8(3x + -5) Reorder the terms: 5x + -4[30 + -9 + 45y] = 3y + -18x + 8(3x + -5) Combine like terms: 30 + -9 = 21 5x + -4[21 + 45y] = 3y + -18x + 8(3x + -5) 5x + [21 * -4 + 45y * -4] = 3y + -18x + 8(3x + -5) 5x + [-84 + -180y] = 3y + -18x + 8(3x + -5) Reorder the terms: -84 + 5x + -180y = 3y + -18x + 8(3x + -5) Reorder the terms: -84 + 5x + -180y = 3y + -18x + 8(-5 + 3x) -84 + 5x + -180y = 3y + -18x + (-5 * 8 + 3x * 8) -84 + 5x + -180y = 3y + -18x + (-40 + 24x) Reorder the terms: -84 + 5x + -180y = -40 + -18x + 24x + 3y Combine like terms: -18x + 24x = 6x -84 + 5x + -180y = -40 + 6x + 3y Solving -84 + 5x + -180y = -40 + 6x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -84 + 5x + -6x + -180y = -40 + 6x + -6x + 3y Combine like terms: 5x + -6x = -1x -84 + -1x + -180y = -40 + 6x + -6x + 3y Combine like terms: 6x + -6x = 0 -84 + -1x + -180y = -40 + 0 + 3y -84 + -1x + -180y = -40 + 3y Add '84' to each side of the equation. -84 + -1x + 84 + -180y = -40 + 84 + 3y Reorder the terms: -84 + 84 + -1x + -180y = -40 + 84 + 3y Combine like terms: -84 + 84 = 0 0 + -1x + -180y = -40 + 84 + 3y -1x + -180y = -40 + 84 + 3y Combine like terms: -40 + 84 = 44 -1x + -180y = 44 + 3y Add '180y' to each side of the equation. -1x + -180y + 180y = 44 + 3y + 180y Combine like terms: -180y + 180y = 0 -1x + 0 = 44 + 3y + 180y -1x = 44 + 3y + 180y Combine like terms: 3y + 180y = 183y -1x = 44 + 183y Divide each side by '-1'. x = -44 + -183y Simplifying x = -44 + -183y
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