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Simplifying 8x + 3x + -14x + 7 = 5x + 65 Reorder the terms: 7 + 8x + 3x + -14x = 5x + 65 Combine like terms: 8x + 3x = 11x 7 + 11x + -14x = 5x + 65 Combine like terms: 11x + -14x = -3x 7 + -3x = 5x + 65 Reorder the terms: 7 + -3x = 65 + 5x Solving 7 + -3x = 65 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + -3x + -5x = 65 + 5x + -5x Combine like terms: -3x + -5x = -8x 7 + -8x = 65 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -8x = 65 + 0 7 + -8x = 65 Add '-7' to each side of the equation. 7 + -7 + -8x = 65 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 65 + -7 -8x = 65 + -7 Combine like terms: 65 + -7 = 58 -8x = 58 Divide each side by '-8'. x = -7.25 Simplifying x = -7.25
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