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Simplifying 4x + 7 + 2x + -11 = 8x + -29 + 3x Reorder the terms: 7 + -11 + 4x + 2x = 8x + -29 + 3x Combine like terms: 7 + -11 = -4 -4 + 4x + 2x = 8x + -29 + 3x Combine like terms: 4x + 2x = 6x -4 + 6x = 8x + -29 + 3x Reorder the terms: -4 + 6x = -29 + 8x + 3x Combine like terms: 8x + 3x = 11x -4 + 6x = -29 + 11x Solving -4 + 6x = -29 + 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. -4 + 6x + -11x = -29 + 11x + -11x Combine like terms: 6x + -11x = -5x -4 + -5x = -29 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + -5x = -29 + 0 -4 + -5x = -29 Add '4' to each side of the equation. -4 + 4 + -5x = -29 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = -29 + 4 -5x = -29 + 4 Combine like terms: -29 + 4 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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