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Simplifying 3x + 20 + -2x = 7 + 4x + -5 Reorder the terms: 20 + 3x + -2x = 7 + 4x + -5 Combine like terms: 3x + -2x = 1x 20 + 1x = 7 + 4x + -5 Reorder the terms: 20 + 1x = 7 + -5 + 4x Combine like terms: 7 + -5 = 2 20 + 1x = 2 + 4x Solving 20 + 1x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 1x + -4x = 2 + 4x + -4x Combine like terms: 1x + -4x = -3x 20 + -3x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + -3x = 2 + 0 20 + -3x = 2 Add '-20' to each side of the equation. 20 + -20 + -3x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 2 + -20 -3x = 2 + -20 Combine like terms: 2 + -20 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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