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Simplifying 3(x + -3) + -4(x + 4) = 6 Reorder the terms: 3(-3 + x) + -4(x + 4) = 6 (-3 * 3 + x * 3) + -4(x + 4) = 6 (-9 + 3x) + -4(x + 4) = 6 Reorder the terms: -9 + 3x + -4(4 + x) = 6 -9 + 3x + (4 * -4 + x * -4) = 6 -9 + 3x + (-16 + -4x) = 6 Reorder the terms: -9 + -16 + 3x + -4x = 6 Combine like terms: -9 + -16 = -25 -25 + 3x + -4x = 6 Combine like terms: 3x + -4x = -1x -25 + -1x = 6 Solving -25 + -1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1x = 6 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = 6 + 25 -1x = 6 + 25 Combine like terms: 6 + 25 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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