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Simplifying x + 7(4 + -1x) = 3x + 2(x + 1) x + (4 * 7 + -1x * 7) = 3x + 2(x + 1) x + (28 + -7x) = 3x + 2(x + 1) Reorder the terms: 28 + x + -7x = 3x + 2(x + 1) Combine like terms: x + -7x = -6x 28 + -6x = 3x + 2(x + 1) Reorder the terms: 28 + -6x = 3x + 2(1 + x) 28 + -6x = 3x + (1 * 2 + x * 2) 28 + -6x = 3x + (2 + 2x) Reorder the terms: 28 + -6x = 2 + 3x + 2x Combine like terms: 3x + 2x = 5x 28 + -6x = 2 + 5x Solving 28 + -6x = 2 + 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. 28 + -6x + -5x = 2 + 5x + -5x Combine like terms: -6x + -5x = -11x 28 + -11x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + -11x = 2 + 0 28 + -11x = 2 Add '-28' to each side of the equation. 28 + -28 + -11x = 2 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = 2 + -28 -11x = 2 + -28 Combine like terms: 2 + -28 = -26 -11x = -26 Divide each side by '-11'. x = 2.363636364 Simplifying x = 2.363636364
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