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Simplifying 8x + -4x + 20 + -7x = 20 + 5x + -21 + -14 Reorder the terms: 20 + 8x + -4x + -7x = 20 + 5x + -21 + -14 Combine like terms: 8x + -4x = 4x 20 + 4x + -7x = 20 + 5x + -21 + -14 Combine like terms: 4x + -7x = -3x 20 + -3x = 20 + 5x + -21 + -14 Reorder the terms: 20 + -3x = 20 + -21 + -14 + 5x Combine like terms: 20 + -21 = -1 20 + -3x = -1 + -14 + 5x Combine like terms: -1 + -14 = -15 20 + -3x = -15 + 5x Solving 20 + -3x = -15 + 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. 20 + -3x + -5x = -15 + 5x + -5x Combine like terms: -3x + -5x = -8x 20 + -8x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -8x = -15 + 0 20 + -8x = -15 Add '-20' to each side of the equation. 20 + -20 + -8x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -15 + -20 -8x = -15 + -20 Combine like terms: -15 + -20 = -35 -8x = -35 Divide each side by '-8'. x = 4.375 Simplifying x = 4.375
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