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Simplifying 6(x + -2) + 3(x + -4) = 3 Reorder the terms: 6(-2 + x) + 3(x + -4) = 3 (-2 * 6 + x * 6) + 3(x + -4) = 3 (-12 + 6x) + 3(x + -4) = 3 Reorder the terms: -12 + 6x + 3(-4 + x) = 3 -12 + 6x + (-4 * 3 + x * 3) = 3 -12 + 6x + (-12 + 3x) = 3 Reorder the terms: -12 + -12 + 6x + 3x = 3 Combine like terms: -12 + -12 = -24 -24 + 6x + 3x = 3 Combine like terms: 6x + 3x = 9x -24 + 9x = 3 Solving -24 + 9x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 9x = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 3 + 24 9x = 3 + 24 Combine like terms: 3 + 24 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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