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Simplifying 4(x + -3) + -2(x + 2) = 0 Reorder the terms: 4(-3 + x) + -2(x + 2) = 0 (-3 * 4 + x * 4) + -2(x + 2) = 0 (-12 + 4x) + -2(x + 2) = 0 Reorder the terms: -12 + 4x + -2(2 + x) = 0 -12 + 4x + (2 * -2 + x * -2) = 0 -12 + 4x + (-4 + -2x) = 0 Reorder the terms: -12 + -4 + 4x + -2x = 0 Combine like terms: -12 + -4 = -16 -16 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -16 + 2x = 0 Solving -16 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 0 + 16 2x = 0 + 16 Combine like terms: 0 + 16 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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