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Simplifying 3x + 9 + -2x + 5 = 6x + -4x + 7 Reorder the terms: 9 + 5 + 3x + -2x = 6x + -4x + 7 Combine like terms: 9 + 5 = 14 14 + 3x + -2x = 6x + -4x + 7 Combine like terms: 3x + -2x = 1x 14 + 1x = 6x + -4x + 7 Reorder the terms: 14 + 1x = 7 + 6x + -4x Combine like terms: 6x + -4x = 2x 14 + 1x = 7 + 2x Solving 14 + 1x = 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. 14 + 1x + -2x = 7 + 2x + -2x Combine like terms: 1x + -2x = -1x 14 + -1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 14 + -1x = 7 + 0 14 + -1x = 7 Add '-14' to each side of the equation. 14 + -14 + -1x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 7 + -14 -1x = 7 + -14 Combine like terms: 7 + -14 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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