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Simplifying 4x + 7 + -2x = 5 + x + 9 Reorder the terms: 7 + 4x + -2x = 5 + x + 9 Combine like terms: 4x + -2x = 2x 7 + 2x = 5 + x + 9 Reorder the terms: 7 + 2x = 5 + 9 + x Combine like terms: 5 + 9 = 14 7 + 2x = 14 + x Solving 7 + 2x = 14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 2x + -1x = 14 + x + -1x Combine like terms: 2x + -1x = 1x 7 + 1x = 14 + x + -1x Combine like terms: x + -1x = 0 7 + 1x = 14 + 0 7 + 1x = 14 Add '-7' to each side of the equation. 7 + -7 + 1x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 14 + -7 1x = 14 + -7 Combine like terms: 14 + -7 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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