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Simplifying (x + -5) + 3(x + -4) = 3(x + 6) + 2 Reorder the terms: (-5 + x) + 3(x + -4) = 3(x + 6) + 2 Remove parenthesis around (-5 + x) -5 + x + 3(x + -4) = 3(x + 6) + 2 Reorder the terms: -5 + x + 3(-4 + x) = 3(x + 6) + 2 -5 + x + (-4 * 3 + x * 3) = 3(x + 6) + 2 -5 + x + (-12 + 3x) = 3(x + 6) + 2 Reorder the terms: -5 + -12 + x + 3x = 3(x + 6) + 2 Combine like terms: -5 + -12 = -17 -17 + x + 3x = 3(x + 6) + 2 Combine like terms: x + 3x = 4x -17 + 4x = 3(x + 6) + 2 Reorder the terms: -17 + 4x = 3(6 + x) + 2 -17 + 4x = (6 * 3 + x * 3) + 2 -17 + 4x = (18 + 3x) + 2 Reorder the terms: -17 + 4x = 18 + 2 + 3x Combine like terms: 18 + 2 = 20 -17 + 4x = 20 + 3x Solving -17 + 4x = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -17 + 4x + -3x = 20 + 3x + -3x Combine like terms: 4x + -3x = 1x -17 + 1x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 1x = 20 + 0 -17 + 1x = 20 Add '17' to each side of the equation. -17 + 17 + 1x = 20 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 20 + 17 1x = 20 + 17 Combine like terms: 20 + 17 = 37 1x = 37 Divide each side by '1'. x = 37 Simplifying x = 37
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