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Simplifying -9x + 2 = -5(x + 6) Reorder the terms: 2 + -9x = -5(x + 6) Reorder the terms: 2 + -9x = -5(6 + x) 2 + -9x = (6 * -5 + x * -5) 2 + -9x = (-30 + -5x) Solving 2 + -9x = -30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + -9x + 5x = -30 + -5x + 5x Combine like terms: -9x + 5x = -4x 2 + -4x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + -4x = -30 + 0 2 + -4x = -30 Add '-2' to each side of the equation. 2 + -2 + -4x = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -30 + -2 -4x = -30 + -2 Combine like terms: -30 + -2 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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