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Simplifying -5(5x + 3y) + -1[4x + -1(7 + -3y)] = 0 (5x * -5 + 3y * -5) + -1[4x + -1(7 + -3y)] = 0 (-25x + -15y) + -1[4x + -1(7 + -3y)] = 0 -25x + -15y + -1[4x + (7 * -1 + -3y * -1)] = 0 -25x + -15y + -1[4x + (-7 + 3y)] = 0 Reorder the terms: -25x + -15y + -1[-7 + 4x + 3y] = 0 -25x + -15y + [-7 * -1 + 4x * -1 + 3y * -1] = 0 -25x + -15y + [7 + -4x + -3y] = 0 Reorder the terms: 7 + -25x + -4x + -15y + -3y = 0 Combine like terms: -25x + -4x = -29x 7 + -29x + -15y + -3y = 0 Combine like terms: -15y + -3y = -18y 7 + -29x + -18y = 0 Solving 7 + -29x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -29x + -7 + -18y = 0 + -7 Reorder the terms: 7 + -7 + -29x + -18y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -29x + -18y = 0 + -7 -29x + -18y = 0 + -7 Combine like terms: 0 + -7 = -7 -29x + -18y = -7 Add '18y' to each side of the equation. -29x + -18y + 18y = -7 + 18y Combine like terms: -18y + 18y = 0 -29x + 0 = -7 + 18y -29x = -7 + 18y Divide each side by '-29'. x = 0.2413793103 + -0.6206896552y Simplifying x = 0.2413793103 + -0.6206896552y
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