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Simplifying (3x + -1) + -9 = 4(x + 6) Reorder the terms: (-1 + 3x) + -9 = 4(x + 6) Remove parenthesis around (-1 + 3x) -1 + 3x + -9 = 4(x + 6) Reorder the terms: -1 + -9 + 3x = 4(x + 6) Combine like terms: -1 + -9 = -10 -10 + 3x = 4(x + 6) Reorder the terms: -10 + 3x = 4(6 + x) -10 + 3x = (6 * 4 + x * 4) -10 + 3x = (24 + 4x) Solving -10 + 3x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 3x + -4x = 24 + 4x + -4x Combine like terms: 3x + -4x = -1x -10 + -1x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -1x = 24 + 0 -10 + -1x = 24 Add '10' to each side of the equation. -10 + 10 + -1x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 24 + 10 -1x = 24 + 10 Combine like terms: 24 + 10 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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