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Simplifying -3x + 4(-3x + -3) = -21 + -6x Reorder the terms: -3x + 4(-3 + -3x) = -21 + -6x -3x + (-3 * 4 + -3x * 4) = -21 + -6x -3x + (-12 + -12x) = -21 + -6x Reorder the terms: -12 + -3x + -12x = -21 + -6x Combine like terms: -3x + -12x = -15x -12 + -15x = -21 + -6x Solving -12 + -15x = -21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + -15x + 6x = -21 + -6x + 6x Combine like terms: -15x + 6x = -9x -12 + -9x = -21 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + -9x = -21 + 0 -12 + -9x = -21 Add '12' to each side of the equation. -12 + 12 + -9x = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = -21 + 12 -9x = -21 + 12 Combine like terms: -21 + 12 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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