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Simplifying 4x + 6x + -7 = 9x + 12 Reorder the terms: -7 + 4x + 6x = 9x + 12 Combine like terms: 4x + 6x = 10x -7 + 10x = 9x + 12 Reorder the terms: -7 + 10x = 12 + 9x Solving -7 + 10x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 10x + -9x = 12 + 9x + -9x Combine like terms: 10x + -9x = 1x -7 + 1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + 1x = 12 + 0 -7 + 1x = 12 Add '7' to each side of the equation. -7 + 7 + 1x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 12 + 7 1x = 12 + 7 Combine like terms: 12 + 7 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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