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Simplifying X + 2(x + 9) + 3(x + -4) = 42 Reorder the terms: X + 2(9 + x) + 3(x + -4) = 42 X + (9 * 2 + x * 2) + 3(x + -4) = 42 X + (18 + 2x) + 3(x + -4) = 42 Reorder the terms: X + 18 + 2x + 3(-4 + x) = 42 X + 18 + 2x + (-4 * 3 + x * 3) = 42 X + 18 + 2x + (-12 + 3x) = 42 Reorder the terms: 18 + -12 + X + 2x + 3x = 42 Combine like terms: 18 + -12 = 6 6 + X + 2x + 3x = 42 Combine like terms: 2x + 3x = 5x 6 + X + 5x = 42 Solving 6 + X + 5x = 42 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 + X + -6 + 5x = 42 + -6 Reorder the terms: 6 + -6 + X + 5x = 42 + -6 Combine like terms: 6 + -6 = 0 0 + X + 5x = 42 + -6 X + 5x = 42 + -6 Combine like terms: 42 + -6 = 36 X + 5x = 36 Add '-5x' to each side of the equation. X + 5x + -5x = 36 + -5x Combine like terms: 5x + -5x = 0 X + 0 = 36 + -5x X = 36 + -5x Simplifying X = 36 + -5x
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