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Simplifying 3x + 20 + -8x + 13 = 2x + -12 + 14 Reorder the terms: 20 + 13 + 3x + -8x = 2x + -12 + 14 Combine like terms: 20 + 13 = 33 33 + 3x + -8x = 2x + -12 + 14 Combine like terms: 3x + -8x = -5x 33 + -5x = 2x + -12 + 14 Reorder the terms: 33 + -5x = -12 + 14 + 2x Combine like terms: -12 + 14 = 2 33 + -5x = 2 + 2x Solving 33 + -5x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 33 + -5x + -2x = 2 + 2x + -2x Combine like terms: -5x + -2x = -7x 33 + -7x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 33 + -7x = 2 + 0 33 + -7x = 2 Add '-33' to each side of the equation. 33 + -33 + -7x = 2 + -33 Combine like terms: 33 + -33 = 0 0 + -7x = 2 + -33 -7x = 2 + -33 Combine like terms: 2 + -33 = -31 -7x = -31 Divide each side by '-7'. x = 4.428571429 Simplifying x = 4.428571429
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