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Simplifying 0 = 4(x + -3) + -2(x + -4) Reorder the terms: 0 = 4(-3 + x) + -2(x + -4) 0 = (-3 * 4 + x * 4) + -2(x + -4) 0 = (-12 + 4x) + -2(x + -4) Reorder the terms: 0 = -12 + 4x + -2(-4 + x) 0 = -12 + 4x + (-4 * -2 + x * -2) 0 = -12 + 4x + (8 + -2x) Reorder the terms: 0 = -12 + 8 + 4x + -2x Combine like terms: -12 + 8 = -4 0 = -4 + 4x + -2x Combine like terms: 4x + -2x = 2x 0 = -4 + 2x Solving 0 = -4 + 2x 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. 0 + -2x = -4 + 2x + -2x Remove the zero: -2x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -2x = -4 + 0 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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