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Simplifying 2(x + -1) + 2(x + -1) + 3x + 21 = 94 Reorder the terms: 2(-1 + x) + 2(x + -1) + 3x + 21 = 94 (-1 * 2 + x * 2) + 2(x + -1) + 3x + 21 = 94 (-2 + 2x) + 2(x + -1) + 3x + 21 = 94 Reorder the terms: -2 + 2x + 2(-1 + x) + 3x + 21 = 94 -2 + 2x + (-1 * 2 + x * 2) + 3x + 21 = 94 -2 + 2x + (-2 + 2x) + 3x + 21 = 94 Reorder the terms: -2 + -2 + 21 + 2x + 2x + 3x = 94 Combine like terms: -2 + -2 = -4 -4 + 21 + 2x + 2x + 3x = 94 Combine like terms: -4 + 21 = 17 17 + 2x + 2x + 3x = 94 Combine like terms: 2x + 2x = 4x 17 + 4x + 3x = 94 Combine like terms: 4x + 3x = 7x 17 + 7x = 94 Solving 17 + 7x = 94 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7x = 94 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 94 + -17 7x = 94 + -17 Combine like terms: 94 + -17 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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