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Simplifying 3(x + 11) + -1 = 2(x + 50) Reorder the terms: 3(11 + x) + -1 = 2(x + 50) (11 * 3 + x * 3) + -1 = 2(x + 50) (33 + 3x) + -1 = 2(x + 50) Reorder the terms: 33 + -1 + 3x = 2(x + 50) Combine like terms: 33 + -1 = 32 32 + 3x = 2(x + 50) Reorder the terms: 32 + 3x = 2(50 + x) 32 + 3x = (50 * 2 + x * 2) 32 + 3x = (100 + 2x) Solving 32 + 3x = 100 + 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. 32 + 3x + -2x = 100 + 2x + -2x Combine like terms: 3x + -2x = 1x 32 + 1x = 100 + 2x + -2x Combine like terms: 2x + -2x = 0 32 + 1x = 100 + 0 32 + 1x = 100 Add '-32' to each side of the equation. 32 + -32 + 1x = 100 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 100 + -32 1x = 100 + -32 Combine like terms: 100 + -32 = 68 1x = 68 Divide each side by '1'. x = 68 Simplifying x = 68
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