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Simplifying 3(x + -3) + -1(3x + 3) + -4(2x + 6) = 0 Reorder the terms: 3(-3 + x) + -1(3x + 3) + -4(2x + 6) = 0 (-3 * 3 + x * 3) + -1(3x + 3) + -4(2x + 6) = 0 (-9 + 3x) + -1(3x + 3) + -4(2x + 6) = 0 Reorder the terms: -9 + 3x + -1(3 + 3x) + -4(2x + 6) = 0 -9 + 3x + (3 * -1 + 3x * -1) + -4(2x + 6) = 0 -9 + 3x + (-3 + -3x) + -4(2x + 6) = 0 Reorder the terms: -9 + 3x + -3 + -3x + -4(6 + 2x) = 0 -9 + 3x + -3 + -3x + (6 * -4 + 2x * -4) = 0 -9 + 3x + -3 + -3x + (-24 + -8x) = 0 Reorder the terms: -9 + -3 + -24 + 3x + -3x + -8x = 0 Combine like terms: -9 + -3 = -12 -12 + -24 + 3x + -3x + -8x = 0 Combine like terms: -12 + -24 = -36 -36 + 3x + -3x + -8x = 0 Combine like terms: 3x + -3x = 0 -36 + 0 + -8x = 0 -36 + -8x = 0 Solving -36 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -8x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -8x = 0 + 36 -8x = 0 + 36 Combine like terms: 0 + 36 = 36 -8x = 36 Divide each side by '-8'. x = -4.5 Simplifying x = -4.5
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