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Simplifying 2(x + 3) + -4(x + 3) = 9 Reorder the terms: 2(3 + x) + -4(x + 3) = 9 (3 * 2 + x * 2) + -4(x + 3) = 9 (6 + 2x) + -4(x + 3) = 9 Reorder the terms: 6 + 2x + -4(3 + x) = 9 6 + 2x + (3 * -4 + x * -4) = 9 6 + 2x + (-12 + -4x) = 9 Reorder the terms: 6 + -12 + 2x + -4x = 9 Combine like terms: 6 + -12 = -6 -6 + 2x + -4x = 9 Combine like terms: 2x + -4x = -2x -6 + -2x = 9 Solving -6 + -2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 9 + 6 -2x = 9 + 6 Combine like terms: 9 + 6 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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