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Simplifying 4(x + 51) + 2 = 5(x + 1) Reorder the terms: 4(51 + x) + 2 = 5(x + 1) (51 * 4 + x * 4) + 2 = 5(x + 1) (204 + 4x) + 2 = 5(x + 1) Reorder the terms: 204 + 2 + 4x = 5(x + 1) Combine like terms: 204 + 2 = 206 206 + 4x = 5(x + 1) Reorder the terms: 206 + 4x = 5(1 + x) 206 + 4x = (1 * 5 + x * 5) 206 + 4x = (5 + 5x) Solving 206 + 4x = 5 + 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. 206 + 4x + -5x = 5 + 5x + -5x Combine like terms: 4x + -5x = -1x 206 + -1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 206 + -1x = 5 + 0 206 + -1x = 5 Add '-206' to each side of the equation. 206 + -206 + -1x = 5 + -206 Combine like terms: 206 + -206 = 0 0 + -1x = 5 + -206 -1x = 5 + -206 Combine like terms: 5 + -206 = -201 -1x = -201 Divide each side by '-1'. x = 201 Simplifying x = 201
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