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Simplifying -4(x + -3) = -2(x + y + 5) Reorder the terms: -4(-3 + x) = -2(x + y + 5) (-3 * -4 + x * -4) = -2(x + y + 5) (12 + -4x) = -2(x + y + 5) Reorder the terms: 12 + -4x = -2(5 + x + y) 12 + -4x = (5 * -2 + x * -2 + y * -2) 12 + -4x = (-10 + -2x + -2y) Solving 12 + -4x = -10 + -2x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -4x + 2x = -10 + -2x + 2x + -2y Combine like terms: -4x + 2x = -2x 12 + -2x = -10 + -2x + 2x + -2y Combine like terms: -2x + 2x = 0 12 + -2x = -10 + 0 + -2y 12 + -2x = -10 + -2y Add '-12' to each side of the equation. 12 + -12 + -2x = -10 + -12 + -2y Combine like terms: 12 + -12 = 0 0 + -2x = -10 + -12 + -2y -2x = -10 + -12 + -2y Combine like terms: -10 + -12 = -22 -2x = -22 + -2y Divide each side by '-2'. x = 11 + y Simplifying x = 11 + y
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