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Simplifying x + 2x + 3 + 4 = 5x + 7 + 6x + 8 Reorder the terms: 3 + 4 + x + 2x = 5x + 7 + 6x + 8 Combine like terms: 3 + 4 = 7 7 + x + 2x = 5x + 7 + 6x + 8 Combine like terms: x + 2x = 3x 7 + 3x = 5x + 7 + 6x + 8 Reorder the terms: 7 + 3x = 7 + 8 + 5x + 6x Combine like terms: 7 + 8 = 15 7 + 3x = 15 + 5x + 6x Combine like terms: 5x + 6x = 11x 7 + 3x = 15 + 11x Solving 7 + 3x = 15 + 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. 7 + 3x + -11x = 15 + 11x + -11x Combine like terms: 3x + -11x = -8x 7 + -8x = 15 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + -8x = 15 + 0 7 + -8x = 15 Add '-7' to each side of the equation. 7 + -7 + -8x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 15 + -7 -8x = 15 + -7 Combine like terms: 15 + -7 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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