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Simplifying 3(x + -2) + -4(x + 9) = 8 Reorder the terms: 3(-2 + x) + -4(x + 9) = 8 (-2 * 3 + x * 3) + -4(x + 9) = 8 (-6 + 3x) + -4(x + 9) = 8 Reorder the terms: -6 + 3x + -4(9 + x) = 8 -6 + 3x + (9 * -4 + x * -4) = 8 -6 + 3x + (-36 + -4x) = 8 Reorder the terms: -6 + -36 + 3x + -4x = 8 Combine like terms: -6 + -36 = -42 -42 + 3x + -4x = 8 Combine like terms: 3x + -4x = -1x -42 + -1x = 8 Solving -42 + -1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -1x = 8 + 42 Combine like terms: -42 + 42 = 0 0 + -1x = 8 + 42 -1x = 8 + 42 Combine like terms: 8 + 42 = 50 -1x = 50 Divide each side by '-1'. x = -50 Simplifying x = -50
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