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Simplifying 2x + 18 + -4x + 2 = -4x + 16 + -1x + 7 Reorder the terms: 18 + 2 + 2x + -4x = -4x + 16 + -1x + 7 Combine like terms: 18 + 2 = 20 20 + 2x + -4x = -4x + 16 + -1x + 7 Combine like terms: 2x + -4x = -2x 20 + -2x = -4x + 16 + -1x + 7 Reorder the terms: 20 + -2x = 16 + 7 + -4x + -1x Combine like terms: 16 + 7 = 23 20 + -2x = 23 + -4x + -1x Combine like terms: -4x + -1x = -5x 20 + -2x = 23 + -5x Solving 20 + -2x = 23 + -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 + -2x + 5x = 23 + -5x + 5x Combine like terms: -2x + 5x = 3x 20 + 3x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 3x = 23 + 0 20 + 3x = 23 Add '-20' to each side of the equation. 20 + -20 + 3x = 23 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 23 + -20 3x = 23 + -20 Combine like terms: 23 + -20 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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