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Simplifying -4x + -21 = 3(3x + 4) + -7 Reorder the terms: -21 + -4x = 3(3x + 4) + -7 Reorder the terms: -21 + -4x = 3(4 + 3x) + -7 -21 + -4x = (4 * 3 + 3x * 3) + -7 -21 + -4x = (12 + 9x) + -7 Reorder the terms: -21 + -4x = 12 + -7 + 9x Combine like terms: 12 + -7 = 5 -21 + -4x = 5 + 9x Solving -21 + -4x = 5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -21 + -4x + -9x = 5 + 9x + -9x Combine like terms: -4x + -9x = -13x -21 + -13x = 5 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + -13x = 5 + 0 -21 + -13x = 5 Add '21' to each side of the equation. -21 + 21 + -13x = 5 + 21 Combine like terms: -21 + 21 = 0 0 + -13x = 5 + 21 -13x = 5 + 21 Combine like terms: 5 + 21 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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