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Simplifying 2(x + -4) + -4(x + -2) = x + 3 + -1(x + -3) Reorder the terms: 2(-4 + x) + -4(x + -2) = x + 3 + -1(x + -3) (-4 * 2 + x * 2) + -4(x + -2) = x + 3 + -1(x + -3) (-8 + 2x) + -4(x + -2) = x + 3 + -1(x + -3) Reorder the terms: -8 + 2x + -4(-2 + x) = x + 3 + -1(x + -3) -8 + 2x + (-2 * -4 + x * -4) = x + 3 + -1(x + -3) -8 + 2x + (8 + -4x) = x + 3 + -1(x + -3) Reorder the terms: -8 + 8 + 2x + -4x = x + 3 + -1(x + -3) Combine like terms: -8 + 8 = 0 0 + 2x + -4x = x + 3 + -1(x + -3) 2x + -4x = x + 3 + -1(x + -3) Combine like terms: 2x + -4x = -2x -2x = x + 3 + -1(x + -3) Reorder the terms: -2x = x + 3 + -1(-3 + x) -2x = x + 3 + (-3 * -1 + x * -1) -2x = x + 3 + (3 + -1x) Reorder the terms: -2x = 3 + 3 + x + -1x Combine like terms: 3 + 3 = 6 -2x = 6 + x + -1x Combine like terms: x + -1x = 0 -2x = 6 + 0 -2x = 6 Solving -2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-2'. x = -3 Simplifying x = -3
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