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Simplifying 4x + 9 + 2x + 7 = 2x + 12 Reorder the terms: 9 + 7 + 4x + 2x = 2x + 12 Combine like terms: 9 + 7 = 16 16 + 4x + 2x = 2x + 12 Combine like terms: 4x + 2x = 6x 16 + 6x = 2x + 12 Reorder the terms: 16 + 6x = 12 + 2x Solving 16 + 6x = 12 + 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. 16 + 6x + -2x = 12 + 2x + -2x Combine like terms: 6x + -2x = 4x 16 + 4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 4x = 12 + 0 16 + 4x = 12 Add '-16' to each side of the equation. 16 + -16 + 4x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 12 + -16 4x = 12 + -16 Combine like terms: 12 + -16 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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