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Simplifying 2x + x + 7 + 8x + 5 = 5x + 6x + -5 + 3x + 2 Reorder the terms: 7 + 5 + 2x + x + 8x = 5x + 6x + -5 + 3x + 2 Combine like terms: 7 + 5 = 12 12 + 2x + x + 8x = 5x + 6x + -5 + 3x + 2 Combine like terms: 2x + x = 3x 12 + 3x + 8x = 5x + 6x + -5 + 3x + 2 Combine like terms: 3x + 8x = 11x 12 + 11x = 5x + 6x + -5 + 3x + 2 Reorder the terms: 12 + 11x = -5 + 2 + 5x + 6x + 3x Combine like terms: -5 + 2 = -3 12 + 11x = -3 + 5x + 6x + 3x Combine like terms: 5x + 6x = 11x 12 + 11x = -3 + 11x + 3x Combine like terms: 11x + 3x = 14x 12 + 11x = -3 + 14x Solving 12 + 11x = -3 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12 + 11x + -14x = -3 + 14x + -14x Combine like terms: 11x + -14x = -3x 12 + -3x = -3 + 14x + -14x Combine like terms: 14x + -14x = 0 12 + -3x = -3 + 0 12 + -3x = -3 Add '-12' to each side of the equation. 12 + -12 + -3x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -3 + -12 -3x = -3 + -12 Combine like terms: -3 + -12 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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