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Simplifying 7x + 8 + -4x + 15 = 2x + 38 Reorder the terms: 8 + 15 + 7x + -4x = 2x + 38 Combine like terms: 8 + 15 = 23 23 + 7x + -4x = 2x + 38 Combine like terms: 7x + -4x = 3x 23 + 3x = 2x + 38 Reorder the terms: 23 + 3x = 38 + 2x Solving 23 + 3x = 38 + 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. 23 + 3x + -2x = 38 + 2x + -2x Combine like terms: 3x + -2x = 1x 23 + 1x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 1x = 38 + 0 23 + 1x = 38 Add '-23' to each side of the equation. 23 + -23 + 1x = 38 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 38 + -23 1x = 38 + -23 Combine like terms: 38 + -23 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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