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Simplifying 2x + 3x + 4x + 1 = 5x + 6x + 7 Reorder the terms: 1 + 2x + 3x + 4x = 5x + 6x + 7 Combine like terms: 2x + 3x = 5x 1 + 5x + 4x = 5x + 6x + 7 Combine like terms: 5x + 4x = 9x 1 + 9x = 5x + 6x + 7 Reorder the terms: 1 + 9x = 7 + 5x + 6x Combine like terms: 5x + 6x = 11x 1 + 9x = 7 + 11x Solving 1 + 9x = 7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 1 + 9x + -11x = 7 + 11x + -11x Combine like terms: 9x + -11x = -2x 1 + -2x = 7 + 11x + -11x Combine like terms: 11x + -11x = 0 1 + -2x = 7 + 0 1 + -2x = 7 Add '-1' to each side of the equation. 1 + -1 + -2x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 7 + -1 -2x = 7 + -1 Combine like terms: 7 + -1 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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