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Simplifying (x + -1) + 4(x + 3) = 2(7 + x) Reorder the terms: (-1 + x) + 4(x + 3) = 2(7 + x) Remove parenthesis around (-1 + x) -1 + x + 4(x + 3) = 2(7 + x) Reorder the terms: -1 + x + 4(3 + x) = 2(7 + x) -1 + x + (3 * 4 + x * 4) = 2(7 + x) -1 + x + (12 + 4x) = 2(7 + x) Reorder the terms: -1 + 12 + x + 4x = 2(7 + x) Combine like terms: -1 + 12 = 11 11 + x + 4x = 2(7 + x) Combine like terms: x + 4x = 5x 11 + 5x = 2(7 + x) 11 + 5x = (7 * 2 + x * 2) 11 + 5x = (14 + 2x) Solving 11 + 5x = 14 + 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. 11 + 5x + -2x = 14 + 2x + -2x Combine like terms: 5x + -2x = 3x 11 + 3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 3x = 14 + 0 11 + 3x = 14 Add '-11' to each side of the equation. 11 + -11 + 3x = 14 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 14 + -11 3x = 14 + -11 Combine like terms: 14 + -11 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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