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Simplifying (2x + 1) + -1(x + 3) = 7(6 + -1x) Reorder the terms: (1 + 2x) + -1(x + 3) = 7(6 + -1x) Remove parenthesis around (1 + 2x) 1 + 2x + -1(x + 3) = 7(6 + -1x) Reorder the terms: 1 + 2x + -1(3 + x) = 7(6 + -1x) 1 + 2x + (3 * -1 + x * -1) = 7(6 + -1x) 1 + 2x + (-3 + -1x) = 7(6 + -1x) Reorder the terms: 1 + -3 + 2x + -1x = 7(6 + -1x) Combine like terms: 1 + -3 = -2 -2 + 2x + -1x = 7(6 + -1x) Combine like terms: 2x + -1x = 1x -2 + 1x = 7(6 + -1x) -2 + 1x = (6 * 7 + -1x * 7) -2 + 1x = (42 + -7x) Solving -2 + 1x = 42 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + 1x + 7x = 42 + -7x + 7x Combine like terms: 1x + 7x = 8x -2 + 8x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 8x = 42 + 0 -2 + 8x = 42 Add '2' to each side of the equation. -2 + 2 + 8x = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 42 + 2 8x = 42 + 2 Combine like terms: 42 + 2 = 44 8x = 44 Divide each side by '8'. x = 5.5 Simplifying x = 5.5
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