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Simplifying -7 = -5 + 4(-1y + 9) + -7(7 + 3x) Reorder the terms: -7 = -5 + 4(9 + -1y) + -7(7 + 3x) -7 = -5 + (9 * 4 + -1y * 4) + -7(7 + 3x) -7 = -5 + (36 + -4y) + -7(7 + 3x) -7 = -5 + 36 + -4y + (7 * -7 + 3x * -7) -7 = -5 + 36 + -4y + (-49 + -21x) Reorder the terms: -7 = -5 + 36 + -49 + -21x + -4y Combine like terms: -5 + 36 = 31 -7 = 31 + -49 + -21x + -4y Combine like terms: 31 + -49 = -18 -7 = -18 + -21x + -4y Solving -7 = -18 + -21x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -7 + 21x = -18 + -21x + 21x + -4y Combine like terms: -21x + 21x = 0 -7 + 21x = -18 + 0 + -4y -7 + 21x = -18 + -4y Add '7' to each side of the equation. -7 + 7 + 21x = -18 + 7 + -4y Combine like terms: -7 + 7 = 0 0 + 21x = -18 + 7 + -4y 21x = -18 + 7 + -4y Combine like terms: -18 + 7 = -11 21x = -11 + -4y Divide each side by '21'. x = -0.5238095238 + -0.1904761905y Simplifying x = -0.5238095238 + -0.1904761905y
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