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Simplifying 3(x + -2) + -4(x + 4) = 25 Reorder the terms: 3(-2 + x) + -4(x + 4) = 25 (-2 * 3 + x * 3) + -4(x + 4) = 25 (-6 + 3x) + -4(x + 4) = 25 Reorder the terms: -6 + 3x + -4(4 + x) = 25 -6 + 3x + (4 * -4 + x * -4) = 25 -6 + 3x + (-16 + -4x) = 25 Reorder the terms: -6 + -16 + 3x + -4x = 25 Combine like terms: -6 + -16 = -22 -22 + 3x + -4x = 25 Combine like terms: 3x + -4x = -1x -22 + -1x = 25 Solving -22 + -1x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1x = 25 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 25 + 22 -1x = 25 + 22 Combine like terms: 25 + 22 = 47 -1x = 47 Divide each side by '-1'. x = -47 Simplifying x = -47
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