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Simplifying 9x + 33 = -6(x + 7) Reorder the terms: 33 + 9x = -6(x + 7) Reorder the terms: 33 + 9x = -6(7 + x) 33 + 9x = (7 * -6 + x * -6) 33 + 9x = (-42 + -6x) Solving 33 + 9x = -42 + -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. 33 + 9x + 6x = -42 + -6x + 6x Combine like terms: 9x + 6x = 15x 33 + 15x = -42 + -6x + 6x Combine like terms: -6x + 6x = 0 33 + 15x = -42 + 0 33 + 15x = -42 Add '-33' to each side of the equation. 33 + -33 + 15x = -42 + -33 Combine like terms: 33 + -33 = 0 0 + 15x = -42 + -33 15x = -42 + -33 Combine like terms: -42 + -33 = -75 15x = -75 Divide each side by '15'. x = -5 Simplifying x = -5
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