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Simplifying 33 + -3x = -7x + -5(x + 6) Reorder the terms: 33 + -3x = -7x + -5(6 + x) 33 + -3x = -7x + (6 * -5 + x * -5) 33 + -3x = -7x + (-30 + -5x) Reorder the terms: 33 + -3x = -30 + -7x + -5x Combine like terms: -7x + -5x = -12x 33 + -3x = -30 + -12x Solving 33 + -3x = -30 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 33 + -3x + 12x = -30 + -12x + 12x Combine like terms: -3x + 12x = 9x 33 + 9x = -30 + -12x + 12x Combine like terms: -12x + 12x = 0 33 + 9x = -30 + 0 33 + 9x = -30 Add '-33' to each side of the equation. 33 + -33 + 9x = -30 + -33 Combine like terms: 33 + -33 = 0 0 + 9x = -30 + -33 9x = -30 + -33 Combine like terms: -30 + -33 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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