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Simplifying 5(2x + -3y + 7) + -4(3y + 5x + -1) = 0 Reorder the terms: 5(7 + 2x + -3y) + -4(3y + 5x + -1) = 0 (7 * 5 + 2x * 5 + -3y * 5) + -4(3y + 5x + -1) = 0 (35 + 10x + -15y) + -4(3y + 5x + -1) = 0 Reorder the terms: 35 + 10x + -15y + -4(-1 + 5x + 3y) = 0 35 + 10x + -15y + (-1 * -4 + 5x * -4 + 3y * -4) = 0 35 + 10x + -15y + (4 + -20x + -12y) = 0 Reorder the terms: 35 + 4 + 10x + -20x + -15y + -12y = 0 Combine like terms: 35 + 4 = 39 39 + 10x + -20x + -15y + -12y = 0 Combine like terms: 10x + -20x = -10x 39 + -10x + -15y + -12y = 0 Combine like terms: -15y + -12y = -27y 39 + -10x + -27y = 0 Solving 39 + -10x + -27y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -10x + -39 + -27y = 0 + -39 Reorder the terms: 39 + -39 + -10x + -27y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -10x + -27y = 0 + -39 -10x + -27y = 0 + -39 Combine like terms: 0 + -39 = -39 -10x + -27y = -39 Add '27y' to each side of the equation. -10x + -27y + 27y = -39 + 27y Combine like terms: -27y + 27y = 0 -10x + 0 = -39 + 27y -10x = -39 + 27y Divide each side by '-10'. x = 3.9 + -2.7y Simplifying x = 3.9 + -2.7y
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