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Simplifying 19y + 45 + -6x = 9x + -30 + 4y Reorder the terms: 45 + -6x + 19y = 9x + -30 + 4y Reorder the terms: 45 + -6x + 19y = -30 + 9x + 4y Solving 45 + -6x + 19y = -30 + 9x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 45 + -6x + -9x + 19y = -30 + 9x + -9x + 4y Combine like terms: -6x + -9x = -15x 45 + -15x + 19y = -30 + 9x + -9x + 4y Combine like terms: 9x + -9x = 0 45 + -15x + 19y = -30 + 0 + 4y 45 + -15x + 19y = -30 + 4y Add '-45' to each side of the equation. 45 + -15x + -45 + 19y = -30 + -45 + 4y Reorder the terms: 45 + -45 + -15x + 19y = -30 + -45 + 4y Combine like terms: 45 + -45 = 0 0 + -15x + 19y = -30 + -45 + 4y -15x + 19y = -30 + -45 + 4y Combine like terms: -30 + -45 = -75 -15x + 19y = -75 + 4y Add '-19y' to each side of the equation. -15x + 19y + -19y = -75 + 4y + -19y Combine like terms: 19y + -19y = 0 -15x + 0 = -75 + 4y + -19y -15x = -75 + 4y + -19y Combine like terms: 4y + -19y = -15y -15x = -75 + -15y Divide each side by '-15'. x = 5 + y Simplifying x = 5 + y
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