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Simplifying 3x + 47 = 27 + 2x + 26 + 10 Reorder the terms: 47 + 3x = 27 + 2x + 26 + 10 Reorder the terms: 47 + 3x = 27 + 26 + 10 + 2x Combine like terms: 27 + 26 = 53 47 + 3x = 53 + 10 + 2x Combine like terms: 53 + 10 = 63 47 + 3x = 63 + 2x Solving 47 + 3x = 63 + 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. 47 + 3x + -2x = 63 + 2x + -2x Combine like terms: 3x + -2x = 1x 47 + 1x = 63 + 2x + -2x Combine like terms: 2x + -2x = 0 47 + 1x = 63 + 0 47 + 1x = 63 Add '-47' to each side of the equation. 47 + -47 + 1x = 63 + -47 Combine like terms: 47 + -47 = 0 0 + 1x = 63 + -47 1x = 63 + -47 Combine like terms: 63 + -47 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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