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Simplifying 6x + 9 = 2x + -12 + 5 Reorder the terms: 9 + 6x = 2x + -12 + 5 Reorder the terms: 9 + 6x = -12 + 5 + 2x Combine like terms: -12 + 5 = -7 9 + 6x = -7 + 2x Solving 9 + 6x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + 6x + -2x = -7 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = -7 + 0 9 + 4x = -7 Add '-9' to each side of the equation. 9 + -9 + 4x = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -7 + -9 4x = -7 + -9 Combine like terms: -7 + -9 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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