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Simplifying 4(x + 8) + -2(x + -6) = 3(y + -4) Reorder the terms: 4(8 + x) + -2(x + -6) = 3(y + -4) (8 * 4 + x * 4) + -2(x + -6) = 3(y + -4) (32 + 4x) + -2(x + -6) = 3(y + -4) Reorder the terms: 32 + 4x + -2(-6 + x) = 3(y + -4) 32 + 4x + (-6 * -2 + x * -2) = 3(y + -4) 32 + 4x + (12 + -2x) = 3(y + -4) Reorder the terms: 32 + 12 + 4x + -2x = 3(y + -4) Combine like terms: 32 + 12 = 44 44 + 4x + -2x = 3(y + -4) Combine like terms: 4x + -2x = 2x 44 + 2x = 3(y + -4) Reorder the terms: 44 + 2x = 3(-4 + y) 44 + 2x = (-4 * 3 + y * 3) 44 + 2x = (-12 + 3y) Solving 44 + 2x = -12 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 2x = -12 + -44 + 3y Combine like terms: 44 + -44 = 0 0 + 2x = -12 + -44 + 3y 2x = -12 + -44 + 3y Combine like terms: -12 + -44 = -56 2x = -56 + 3y Divide each side by '2'. x = -28 + 1.5y Simplifying x = -28 + 1.5y
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