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Simplifying 8 + -2(y + -3x) = 2 + 4(x + -2) Reorder the terms: 8 + -2(-3x + y) = 2 + 4(x + -2) 8 + (-3x * -2 + y * -2) = 2 + 4(x + -2) 8 + (6x + -2y) = 2 + 4(x + -2) Reorder the terms: 8 + 6x + -2y = 2 + 4(-2 + x) 8 + 6x + -2y = 2 + (-2 * 4 + x * 4) 8 + 6x + -2y = 2 + (-8 + 4x) Combine like terms: 2 + -8 = -6 8 + 6x + -2y = -6 + 4x Solving 8 + 6x + -2y = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 6x + -4x + -2y = -6 + 4x + -4x Combine like terms: 6x + -4x = 2x 8 + 2x + -2y = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 2x + -2y = -6 + 0 8 + 2x + -2y = -6 Add '-8' to each side of the equation. 8 + 2x + -8 + -2y = -6 + -8 Reorder the terms: 8 + -8 + 2x + -2y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2x + -2y = -6 + -8 2x + -2y = -6 + -8 Combine like terms: -6 + -8 = -14 2x + -2y = -14 Add '2y' to each side of the equation. 2x + -2y + 2y = -14 + 2y Combine like terms: -2y + 2y = 0 2x + 0 = -14 + 2y 2x = -14 + 2y Divide each side by '2'. x = -7 + y Simplifying x = -7 + y
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